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Finding the Fourth Proportional to 398,001.60, 596,833.92 and 117,443.52

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Solution

The fourth proportional to 398,001.60, 596,833.92 and 117,443.52 is: 176,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,001.60 : 596,833.92 = 117,443.52 : x
  2. Step 2: Convert to fraction form
    398,001.60/596,833.92 = 117,443.52/x
  3. Step 3: Cross multiply
    398,001.60x = 596,833.92 × 117,443.52
  4. Step 4: Simplify right side
    398,001.60x = 70,094,276,420.20
  5. Step 5: Solve for x
    x = 70,094,276,420.20/398,001.60
  6. Step 6: Final answer
    x = 176,115.56

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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.