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Finding the Fourth Proportional to 409,468.88, 614,870.04 and 252,693.92

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Solution

The fourth proportional to 409,468.88, 614,870.04 and 252,693.92 is: 379,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,468.88 : 614,870.04 = 252,693.92 : x
  2. Step 2: Convert to fraction form
    409,468.88/614,870.04 = 252,693.92/x
  3. Step 3: Cross multiply
    409,468.88x = 614,870.04 × 252,693.92
  4. Step 4: Simplify right side
    409,468.88x = 155,373,920,698.16
  5. Step 5: Solve for x
    x = 155,373,920,698.16/409,468.88
  6. Step 6: Final answer
    x = 379,452.33

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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.