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Finding the Fourth Proportional to 314,143.44, 433,508.08 and 170,899.84

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Solution

The fourth proportional to 314,143.44, 433,508.08 and 170,899.84 is: 235,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,143.44 : 433,508.08 = 170,899.84 : x
  2. Step 2: Convert to fraction form
    314,143.44/433,508.08 = 170,899.84/x
  3. Step 3: Cross multiply
    314,143.44x = 433,508.08 × 170,899.84
  4. Step 4: Simplify right side
    314,143.44x = 74,086,461,510.71
  5. Step 5: Solve for x
    x = 74,086,461,510.71/314,143.44
  6. Step 6: Final answer
    x = 235,836.41

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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.