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Finding the Fourth Proportional to 412,818.65, 569,447.78 and 259,613.83

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Solution

The fourth proportional to 412,818.65, 569,447.78 and 259,613.83 is: 358,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818.65 : 569,447.78 = 259,613.83 : x
  2. Step 2: Convert to fraction form
    412,818.65/569,447.78 = 259,613.83/x
  3. Step 3: Cross multiply
    412,818.65x = 569,447.78 × 259,613.83
  4. Step 4: Simplify right side
    412,818.65x = 147,836,519,150.80
  5. Step 5: Solve for x
    x = 147,836,519,150.80/412,818.65
  6. Step 6: Final answer
    x = 358,114.92

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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.