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Finding the Fourth Proportional to 467,884.38, 701,753.28 and 152,339.16

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Solution

The fourth proportional to 467,884.38, 701,753.28 and 152,339.16 is: 228,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,884.38 : 701,753.28 = 152,339.16 : x
  2. Step 2: Convert to fraction form
    467,884.38/701,753.28 = 152,339.16/x
  3. Step 3: Cross multiply
    467,884.38x = 701,753.28 × 152,339.16
  4. Step 4: Simplify right side
    467,884.38x = 106,904,505,202.45
  5. Step 5: Solve for x
    x = 106,904,505,202.45/467,884.38
  6. Step 6: Final answer
    x = 228,484.88

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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.