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Finding the Fourth Proportional to 624,713.96, 862,104.12 and 338,234

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Solution

The fourth proportional to 624,713.96, 862,104.12 and 338,234 is: 466,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,713.96 : 862,104.12 = 338,234 : x
  2. Step 2: Convert to fraction form
    624,713.96/862,104.12 = 338,234/x
  3. Step 3: Cross multiply
    624,713.96x = 862,104.12 × 338,234
  4. Step 4: Simplify right side
    624,713.96x = 291,592,924,924.08
  5. Step 5: Solve for x
    x = 291,592,924,924.08/624,713.96
  6. Step 6: Final answer
    x = 466,762.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.