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Finding the Fourth Proportional to 417,613.91, 576,307.56 and 226,627.29

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Solution

The fourth proportional to 417,613.91, 576,307.56 and 226,627.29 is: 312,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,613.91 : 576,307.56 = 226,627.29 : x
  2. Step 2: Convert to fraction form
    417,613.91/576,307.56 = 226,627.29/x
  3. Step 3: Cross multiply
    417,613.91x = 576,307.56 × 226,627.29
  4. Step 4: Simplify right side
    417,613.91x = 130,607,020,529.31
  5. Step 5: Solve for x
    x = 130,607,020,529.31/417,613.91
  6. Step 6: Final answer
    x = 312,745.86

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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.