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Finding the Fourth Proportional to 581,324.64, 871,978.32 and 160,591.20

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Solution

The fourth proportional to 581,324.64, 871,978.32 and 160,591.20 is: 240,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,324.64 : 871,978.32 = 160,591.20 : x
  2. Step 2: Convert to fraction form
    581,324.64/871,978.32 = 160,591.20/x
  3. Step 3: Cross multiply
    581,324.64x = 871,978.32 × 160,591.20
  4. Step 4: Simplify right side
    581,324.64x = 140,032,044,782.78
  5. Step 5: Solve for x
    x = 140,032,044,782.78/581,324.64
  6. Step 6: Final answer
    x = 240,884.41

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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.