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Finding the Fourth Proportional to 458,259.20, 687,561.60 and 221,811.20

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Solution

The fourth proportional to 458,259.20, 687,561.60 and 221,811.20 is: 332,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,259.20 : 687,561.60 = 221,811.20 : x
  2. Step 2: Convert to fraction form
    458,259.20/687,561.60 = 221,811.20/x
  3. Step 3: Cross multiply
    458,259.20x = 687,561.60 × 221,811.20
  4. Step 4: Simplify right side
    458,259.20x = 152,508,863,569.92
  5. Step 5: Solve for x
    x = 152,508,863,569.92/458,259.20
  6. Step 6: Final answer
    x = 332,800.44

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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.