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Finding the Fourth Proportional to 385,805.28, 532,551 and 314,060.76

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Solution

The fourth proportional to 385,805.28, 532,551 and 314,060.76 is: 433,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,805.28 : 532,551 = 314,060.76 : x
  2. Step 2: Convert to fraction form
    385,805.28/532,551 = 314,060.76/x
  3. Step 3: Cross multiply
    385,805.28x = 532,551 × 314,060.76
  4. Step 4: Simplify right side
    385,805.28x = 167,253,371,798.76
  5. Step 5: Solve for x
    x = 167,253,371,798.76/385,805.28
  6. Step 6: Final answer
    x = 433,517.58

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