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Finding the Fourth Proportional to 497,627.20, 746,613.60 and 217,345.60

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Solution

The fourth proportional to 497,627.20, 746,613.60 and 217,345.60 is: 326,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,627.20 : 746,613.60 = 217,345.60 : x
  2. Step 2: Convert to fraction form
    497,627.20/746,613.60 = 217,345.60/x
  3. Step 3: Cross multiply
    497,627.20x = 746,613.60 × 217,345.60
  4. Step 4: Simplify right side
    497,627.20x = 162,273,180,860.16
  5. Step 5: Solve for x
    x = 162,273,180,860.16/497,627.20
  6. Step 6: Final answer
    x = 326,093.87

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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.