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Finding the Fourth Proportional to 358,691.28, 538,031.16 and 122,198.64

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Solution

The fourth proportional to 358,691.28, 538,031.16 and 122,198.64 is: 183,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,691.28 : 538,031.16 = 122,198.64 : x
  2. Step 2: Convert to fraction form
    358,691.28/538,031.16 = 122,198.64/x
  3. Step 3: Cross multiply
    358,691.28x = 538,031.16 × 122,198.64
  4. Step 4: Simplify right side
    358,691.28x = 65,746,676,029.62
  5. Step 5: Solve for x
    x = 65,746,676,029.62/358,691.28
  6. Step 6: Final answer
    x = 183,296.00

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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.