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Finding the Fourth Proportional to 466,445.08, 643,686.78 and 259,711.48

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Solution

The fourth proportional to 466,445.08, 643,686.78 and 259,711.48 is: 358,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,445.08 : 643,686.78 = 259,711.48 : x
  2. Step 2: Convert to fraction form
    466,445.08/643,686.78 = 259,711.48/x
  3. Step 3: Cross multiply
    466,445.08x = 643,686.78 × 259,711.48
  4. Step 4: Simplify right side
    466,445.08x = 167,172,846,290.23
  5. Step 5: Solve for x
    x = 167,172,846,290.23/466,445.08
  6. Step 6: Final answer
    x = 358,397.71

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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.