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Finding the Fourth Proportional to 292,497.80, 439,265.10 and 226,099.40

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Solution

The fourth proportional to 292,497.80, 439,265.10 and 226,099.40 is: 339,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,497.80 : 439,265.10 = 226,099.40 : x
  2. Step 2: Convert to fraction form
    292,497.80/439,265.10 = 226,099.40/x
  3. Step 3: Cross multiply
    292,497.80x = 439,265.10 × 226,099.40
  4. Step 4: Simplify right side
    292,497.80x = 99,317,575,550.94
  5. Step 5: Solve for x
    x = 99,317,575,550.94/292,497.80
  6. Step 6: Final answer
    x = 339,549.82

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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.