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Finding the Fourth Proportional to 412,818.64, 569,447.78 and 259,613.82

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Solution

The fourth proportional to 412,818.64, 569,447.78 and 259,613.82 is: 358,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818.64 : 569,447.78 = 259,613.82 : x
  2. Step 2: Convert to fraction form
    412,818.64/569,447.78 = 259,613.82/x
  3. Step 3: Cross multiply
    412,818.64x = 569,447.78 × 259,613.82
  4. Step 4: Simplify right side
    412,818.64x = 147,836,513,456.32
  5. Step 5: Solve for x
    x = 147,836,513,456.32/412,818.64
  6. Step 6: Final answer
    x = 358,114.92

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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.