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Finding the Fourth Proportional to 466,170.32, 643,132.86 and 262,174.46

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Solution

The fourth proportional to 466,170.32, 643,132.86 and 262,174.46 is: 361,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,170.32 : 643,132.86 = 262,174.46 : x
  2. Step 2: Convert to fraction form
    466,170.32/643,132.86 = 262,174.46/x
  3. Step 3: Cross multiply
    466,170.32x = 643,132.86 × 262,174.46
  4. Step 4: Simplify right side
    466,170.32x = 168,613,006,079.94
  5. Step 5: Solve for x
    x = 168,613,006,079.94/466,170.32
  6. Step 6: Final answer
    x = 361,698.28

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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.