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Finding the Fourth Proportional to 413,322.60, 619,838.10 and 132,745.08

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Solution

The fourth proportional to 413,322.60, 619,838.10 and 132,745.08 is: 199,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,322.60 : 619,838.10 = 132,745.08 : x
  2. Step 2: Convert to fraction form
    413,322.60/619,838.10 = 132,745.08/x
  3. Step 3: Cross multiply
    413,322.60x = 619,838.10 × 132,745.08
  4. Step 4: Simplify right side
    413,322.60x = 82,280,458,171.55
  5. Step 5: Solve for x
    x = 82,280,458,171.55/413,322.60
  6. Step 6: Final answer
    x = 199,070.79

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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.