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Finding the Fourth Proportional to 506,781.32, 759,371.76 and 411,548.09

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Solution

The fourth proportional to 506,781.32, 759,371.76 and 411,548.09 is: 616,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,781.32 : 759,371.76 = 411,548.09 : x
  2. Step 2: Convert to fraction form
    506,781.32/759,371.76 = 411,548.09/x
  3. Step 3: Cross multiply
    506,781.32x = 759,371.76 × 411,548.09
  4. Step 4: Simplify right side
    506,781.32x = 312,517,993,631.08
  5. Step 5: Solve for x
    x = 312,517,993,631.08/506,781.32
  6. Step 6: Final answer
    x = 616,672.29

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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.