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Finding the Fourth Proportional to 466,065.27, 698,613.12 and 316,317.78

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Solution

The fourth proportional to 466,065.27, 698,613.12 and 316,317.78 is: 474,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,065.27 : 698,613.12 = 316,317.78 : x
  2. Step 2: Convert to fraction form
    466,065.27/698,613.12 = 316,317.78/x
  3. Step 3: Cross multiply
    466,065.27x = 698,613.12 × 316,317.78
  4. Step 4: Simplify right side
    466,065.27x = 220,983,751,197.27
  5. Step 5: Solve for x
    x = 220,983,751,197.27/466,065.27
  6. Step 6: Final answer
    x = 474,147.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.