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Finding the Fourth Proportional to 341,678.52, 471,508.02 and 188,729.46

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Solution

The fourth proportional to 341,678.52, 471,508.02 and 188,729.46 is: 260,442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,678.52 : 471,508.02 = 188,729.46 : x
  2. Step 2: Convert to fraction form
    341,678.52/471,508.02 = 188,729.46/x
  3. Step 3: Cross multiply
    341,678.52x = 471,508.02 × 188,729.46
  4. Step 4: Simplify right side
    341,678.52x = 88,987,454,000.27
  5. Step 5: Solve for x
    x = 88,987,454,000.27/341,678.52
  6. Step 6: Final answer
    x = 260,442.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.