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Finding the Fourth Proportional to 497,788.60, 746,682.90 and 273,062.20

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Solution

The fourth proportional to 497,788.60, 746,682.90 and 273,062.20 is: 409,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,788.60 : 746,682.90 = 273,062.20 : x
  2. Step 2: Convert to fraction form
    497,788.60/746,682.90 = 273,062.20/x
  3. Step 3: Cross multiply
    497,788.60x = 746,682.90 × 273,062.20
  4. Step 4: Simplify right side
    497,788.60x = 203,890,875,376.38
  5. Step 5: Solve for x
    x = 203,890,875,376.38/497,788.60
  6. Step 6: Final answer
    x = 409,593.30

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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.