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Finding the Fourth Proportional to 398,284.16, 597,542.88 and 117,808.88

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Solution

The fourth proportional to 398,284.16, 597,542.88 and 117,808.88 is: 176,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,284.16 : 597,542.88 = 117,808.88 : x
  2. Step 2: Convert to fraction form
    398,284.16/597,542.88 = 117,808.88/x
  3. Step 3: Cross multiply
    398,284.16x = 597,542.88 × 117,808.88
  4. Step 4: Simplify right side
    398,284.16x = 70,395,857,444.77
  5. Step 5: Solve for x
    x = 70,395,857,444.77/398,284.16
  6. Step 6: Final answer
    x = 176,747.82

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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.