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Finding the Fourth Proportional to 539,648.60, 809,331.80 and 160,467.20

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Solution

The fourth proportional to 539,648.60, 809,331.80 and 160,467.20 is: 240,658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,648.60 : 809,331.80 = 160,467.20 : x
  2. Step 2: Convert to fraction form
    539,648.60/809,331.80 = 160,467.20/x
  3. Step 3: Cross multiply
    539,648.60x = 809,331.80 × 160,467.20
  4. Step 4: Simplify right side
    539,648.60x = 129,871,207,816.96
  5. Step 5: Solve for x
    x = 129,871,207,816.96/539,648.60
  6. Step 6: Final answer
    x = 240,658.84

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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.