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Finding the Fourth Proportional to 506,542.31, 759,436.21 and 306,814.53

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Solution

The fourth proportional to 506,542.31, 759,436.21 and 306,814.53 is: 459,993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,542.31 : 759,436.21 = 306,814.53 : x
  2. Step 2: Convert to fraction form
    506,542.31/759,436.21 = 306,814.53/x
  3. Step 3: Cross multiply
    506,542.31x = 759,436.21 × 306,814.53
  4. Step 4: Simplify right side
    506,542.31x = 233,006,065,341.70
  5. Step 5: Solve for x
    x = 233,006,065,341.70/506,542.31
  6. Step 6: Final answer
    x = 459,993.29

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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.