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Finding the Fourth Proportional to 458,809.60, 688,214.40 and 391,158.40

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Solution

The fourth proportional to 458,809.60, 688,214.40 and 391,158.40 is: 586,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,809.60 : 688,214.40 = 391,158.40 : x
  2. Step 2: Convert to fraction form
    458,809.60/688,214.40 = 391,158.40/x
  3. Step 3: Cross multiply
    458,809.60x = 688,214.40 × 391,158.40
  4. Step 4: Simplify right side
    458,809.60x = 269,200,843,560.96
  5. Step 5: Solve for x
    x = 269,200,843,560.96/458,809.60
  6. Step 6: Final answer
    x = 586,737.60

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Why These Related Problems?

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