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Finding the Fourth Proportional to 412,818.15, 569,447.09 and 259,613.33

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Solution

The fourth proportional to 412,818.15, 569,447.09 and 259,613.33 is: 358,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818.15 : 569,447.09 = 259,613.33 : x
  2. Step 2: Convert to fraction form
    412,818.15/569,447.09 = 259,613.33/x
  3. Step 3: Cross multiply
    412,818.15x = 569,447.09 × 259,613.33
  4. Step 4: Simplify right side
    412,818.15x = 147,836,055,293.71
  5. Step 5: Solve for x
    x = 147,836,055,293.71/412,818.15
  6. Step 6: Final answer
    x = 358,114.23

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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.