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Finding the Fourth Proportional to 287,747.87, 431,746.16 and 154,472.49

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Solution

The fourth proportional to 287,747.87, 431,746.16 and 154,472.49 is: 231,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,747.87 : 431,746.16 = 154,472.49 : x
  2. Step 2: Convert to fraction form
    287,747.87/431,746.16 = 154,472.49/x
  3. Step 3: Cross multiply
    287,747.87x = 431,746.16 × 154,472.49
  4. Step 4: Simplify right side
    287,747.87x = 66,692,903,610.78
  5. Step 5: Solve for x
    x = 66,692,903,610.78/287,747.87
  6. Step 6: Final answer
    x = 231,775.49

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