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Finding the Fourth Proportional to 465,006.54, 641,904.03 and 314,307.66

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Solution

The fourth proportional to 465,006.54, 641,904.03 and 314,307.66 is: 433,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,006.54 : 641,904.03 = 314,307.66 : x
  2. Step 2: Convert to fraction form
    465,006.54/641,904.03 = 314,307.66/x
  3. Step 3: Cross multiply
    465,006.54x = 641,904.03 × 314,307.66
  4. Step 4: Simplify right side
    465,006.54x = 201,755,353,613.87
  5. Step 5: Solve for x
    x = 201,755,353,613.87/465,006.54
  6. Step 6: Final answer
    x = 433,876.38

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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.