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Finding the Fourth Proportional to 618,429.29, 853,055.19 and 408,876.44

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Solution

The fourth proportional to 618,429.29, 853,055.19 and 408,876.44 is: 564,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,429.29 : 853,055.19 = 408,876.44 : x
  2. Step 2: Convert to fraction form
    618,429.29/853,055.19 = 408,876.44/x
  3. Step 3: Cross multiply
    618,429.29x = 853,055.19 × 408,876.44
  4. Step 4: Simplify right side
    618,429.29x = 348,794,164,945.45
  5. Step 5: Solve for x
    x = 348,794,164,945.45/618,429.29
  6. Step 6: Final answer
    x = 564,000.08

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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.