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Finding the Fourth Proportional to 458,166.60, 687,687.30 and 233,780.40

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Solution

The fourth proportional to 458,166.60, 687,687.30 and 233,780.40 is: 350,893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,166.60 : 687,687.30 = 233,780.40 : x
  2. Step 2: Convert to fraction form
    458,166.60/687,687.30 = 233,780.40/x
  3. Step 3: Cross multiply
    458,166.60x = 687,687.30 × 233,780.40
  4. Step 4: Simplify right side
    458,166.60x = 160,767,812,068.92
  5. Step 5: Solve for x
    x = 160,767,812,068.92/458,166.60
  6. Step 6: Final answer
    x = 350,893.78

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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.