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Finding the Fourth Proportional to 355,901.60, 533,593.20 and 145,431.20

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Solution

The fourth proportional to 355,901.60, 533,593.20 and 145,431.20 is: 218,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,901.60 : 533,593.20 = 145,431.20 : x
  2. Step 2: Convert to fraction form
    355,901.60/533,593.20 = 145,431.20/x
  3. Step 3: Cross multiply
    355,901.60x = 533,593.20 × 145,431.20
  4. Step 4: Simplify right side
    355,901.60x = 77,601,099,387.84
  5. Step 5: Solve for x
    x = 77,601,099,387.84/355,901.60
  6. Step 6: Final answer
    x = 218,040.88

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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.