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Finding the Fourth Proportional to 649,872.90, 974,809.35 and 460,916.10

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Solution

The fourth proportional to 649,872.90, 974,809.35 and 460,916.10 is: 691,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,872.90 : 974,809.35 = 460,916.10 : x
  2. Step 2: Convert to fraction form
    649,872.90/974,809.35 = 460,916.10/x
  3. Step 3: Cross multiply
    649,872.90x = 974,809.35 × 460,916.10
  4. Step 4: Simplify right side
    649,872.90x = 449,305,323,845.54
  5. Step 5: Solve for x
    x = 449,305,323,845.54/649,872.90
  6. Step 6: Final answer
    x = 691,374.15

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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.