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Finding the Fourth Proportional to 314,220.44, 433,617.12 and 170,980.88

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Solution

The fourth proportional to 314,220.44, 433,617.12 and 170,980.88 is: 235,949.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,220.44 : 433,617.12 = 170,980.88 : x
  2. Step 2: Convert to fraction form
    314,220.44/433,617.12 = 170,980.88/x
  3. Step 3: Cross multiply
    314,220.44x = 433,617.12 × 170,980.88
  4. Step 4: Simplify right side
    314,220.44x = 74,140,236,760.67
  5. Step 5: Solve for x
    x = 74,140,236,760.67/314,220.44
  6. Step 6: Final answer
    x = 235,949.76

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.