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Finding the Fourth Proportional to 382,404.08, 527,686.08 and 225,214.96

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Solution

The fourth proportional to 382,404.08, 527,686.08 and 225,214.96 is: 310,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,404.08 : 527,686.08 = 225,214.96 : x
  2. Step 2: Convert to fraction form
    382,404.08/527,686.08 = 225,214.96/x
  3. Step 3: Cross multiply
    382,404.08x = 527,686.08 × 225,214.96
  4. Step 4: Simplify right side
    382,404.08x = 118,842,799,399.76
  5. Step 5: Solve for x
    x = 118,842,799,399.76/382,404.08
  6. Step 6: Final answer
    x = 310,778.06

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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.