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Finding the Fourth Proportional to 632,217.80, 872,195.94 and 414,478.76

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Solution

The fourth proportional to 632,217.80, 872,195.94 and 414,478.76 is: 571,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,217.80 : 872,195.94 = 414,478.76 : x
  2. Step 2: Convert to fraction form
    632,217.80/872,195.94 = 414,478.76/x
  3. Step 3: Cross multiply
    632,217.80x = 872,195.94 × 414,478.76
  4. Step 4: Simplify right side
    632,217.80x = 361,506,691,688.23
  5. Step 5: Solve for x
    x = 361,506,691,688.23/632,217.80
  6. Step 6: Final answer
    x = 571,807.20

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Double scale
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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.