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Finding the Fourth Proportional to 469,452.15, 647,876.10 and 265,503.12

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Solution

The fourth proportional to 469,452.15, 647,876.10 and 265,503.12 is: 366,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,452.15 : 647,876.10 = 265,503.12 : x
  2. Step 2: Convert to fraction form
    469,452.15/647,876.10 = 265,503.12/x
  3. Step 3: Cross multiply
    469,452.15x = 647,876.10 × 265,503.12
  4. Step 4: Simplify right side
    469,452.15x = 172,013,125,923.43
  5. Step 5: Solve for x
    x = 172,013,125,923.43/469,452.15
  6. Step 6: Final answer
    x = 366,412.48

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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.