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Finding the Fourth Proportional to 292,431.30, 437,772.15 and 257,439.30

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Solution

The fourth proportional to 292,431.30, 437,772.15 and 257,439.30 is: 385,388.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,431.30 : 437,772.15 = 257,439.30 : x
  2. Step 2: Convert to fraction form
    292,431.30/437,772.15 = 257,439.30/x
  3. Step 3: Cross multiply
    292,431.30x = 437,772.15 × 257,439.30
  4. Step 4: Simplify right side
    292,431.30x = 112,699,755,855.50
  5. Step 5: Solve for x
    x = 112,699,755,855.50/292,431.30
  6. Step 6: Final answer
    x = 385,388.83

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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.