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Finding the Fourth Proportional to 314,245.74, 433,668.16 and 171,014.84

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Solution

The fourth proportional to 314,245.74, 433,668.16 and 171,014.84 is: 236,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,245.74 : 433,668.16 = 171,014.84 : x
  2. Step 2: Convert to fraction form
    314,245.74/433,668.16 = 171,014.84/x
  3. Step 3: Cross multiply
    314,245.74x = 433,668.16 × 171,014.84
  4. Step 4: Simplify right side
    314,245.74x = 74,163,690,995.49
  5. Step 5: Solve for x
    x = 74,163,690,995.49/314,245.74
  6. Step 6: Final answer
    x = 236,005.40

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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.