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Finding the Fourth Proportional to 458,475.80, 687,713.70 and 221,842.40

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Solution

The fourth proportional to 458,475.80, 687,713.70 and 221,842.40 is: 332,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,475.80 : 687,713.70 = 221,842.40 : x
  2. Step 2: Convert to fraction form
    458,475.80/687,713.70 = 221,842.40/x
  3. Step 3: Cross multiply
    458,475.80x = 687,713.70 × 221,842.40
  4. Step 4: Simplify right side
    458,475.80x = 152,564,057,720.88
  5. Step 5: Solve for x
    x = 152,564,057,720.88/458,475.80
  6. Step 6: Final answer
    x = 332,763.60

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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.