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Finding the Fourth Proportional to 632,215.80, 872,193.17 and 414,476.75

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Solution

The fourth proportional to 632,215.80, 872,193.17 and 414,476.75 is: 571,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,215.80 : 872,193.17 = 414,476.75 : x
  2. Step 2: Convert to fraction form
    632,215.80/872,193.17 = 414,476.75/x
  3. Step 3: Cross multiply
    632,215.80x = 872,193.17 × 414,476.75
  4. Step 4: Simplify right side
    632,215.80x = 361,503,793,690.47
  5. Step 5: Solve for x
    x = 361,503,793,690.47/632,215.80
  6. Step 6: Final answer
    x = 571,804.43

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1.5x scale

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.