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Finding the Fourth Proportional to 287,568.70, 431,353.05 and 77,227.90

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Solution

The fourth proportional to 287,568.70, 431,353.05 and 77,227.90 is: 115,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,568.70 : 431,353.05 = 77,227.90 : x
  2. Step 2: Convert to fraction form
    287,568.70/431,353.05 = 77,227.90/x
  3. Step 3: Cross multiply
    287,568.70x = 431,353.05 × 77,227.90
  4. Step 4: Simplify right side
    287,568.70x = 33,312,490,210.10
  5. Step 5: Solve for x
    x = 33,312,490,210.10/287,568.70
  6. Step 6: Final answer
    x = 115,841.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.