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Finding the Fourth Proportional to 521,632.12, 782,355.68 and 237,256.24

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Solution

The fourth proportional to 521,632.12, 782,355.68 and 237,256.24 is: 355,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,632.12 : 782,355.68 = 237,256.24 : x
  2. Step 2: Convert to fraction form
    521,632.12/782,355.68 = 237,256.24/x
  3. Step 3: Cross multiply
    521,632.12x = 782,355.68 × 237,256.24
  4. Step 4: Simplify right side
    521,632.12x = 185,618,766,979.44
  5. Step 5: Solve for x
    x = 185,618,766,979.44/521,632.12
  6. Step 6: Final answer
    x = 355,842.29

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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.