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Finding the Fourth Proportional to 721,765.14, 996,257.85 and 416,045.86

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Solution

The fourth proportional to 721,765.14, 996,257.85 and 416,045.86 is: 574,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,765.14 : 996,257.85 = 416,045.86 : x
  2. Step 2: Convert to fraction form
    721,765.14/996,257.85 = 416,045.86/x
  3. Step 3: Cross multiply
    721,765.14x = 996,257.85 × 416,045.86
  4. Step 4: Simplify right side
    721,765.14x = 414,488,952,739.68
  5. Step 5: Solve for x
    x = 414,488,952,739.68/721,765.14
  6. Step 6: Final answer
    x = 574,271.23

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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.