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Finding the Fourth Proportional to 499,095.60, 748,643.40 and 274,369.20

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Solution

The fourth proportional to 499,095.60, 748,643.40 and 274,369.20 is: 411,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,095.60 : 748,643.40 = 274,369.20 : x
  2. Step 2: Convert to fraction form
    499,095.60/748,643.40 = 274,369.20/x
  3. Step 3: Cross multiply
    499,095.60x = 748,643.40 × 274,369.20
  4. Step 4: Simplify right side
    499,095.60x = 205,404,690,743.28
  5. Step 5: Solve for x
    x = 205,404,690,743.28/499,095.60
  6. Step 6: Final answer
    x = 411,553.80

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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.