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Finding the Fourth Proportional to 413,513.16, 619,876.08 and 132,833.64

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Solution

The fourth proportional to 413,513.16, 619,876.08 and 132,833.64 is: 199,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,513.16 : 619,876.08 = 132,833.64 : x
  2. Step 2: Convert to fraction form
    413,513.16/619,876.08 = 132,833.64/x
  3. Step 3: Cross multiply
    413,513.16x = 619,876.08 × 132,833.64
  4. Step 4: Simplify right side
    413,513.16x = 82,340,396,055.33
  5. Step 5: Solve for x
    x = 82,340,396,055.33/413,513.16
  6. Step 6: Final answer
    x = 199,124.00

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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.