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Finding the Fourth Proportional to 412,701.77, 569,287.16 and 259,497.41

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Solution

The fourth proportional to 412,701.77, 569,287.16 and 259,497.41 is: 357,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,701.77 : 569,287.16 = 259,497.41 : x
  2. Step 2: Convert to fraction form
    412,701.77/569,287.16 = 259,497.41/x
  3. Step 3: Cross multiply
    412,701.77x = 569,287.16 × 259,497.41
  4. Step 4: Simplify right side
    412,701.77x = 147,728,543,691.99
  5. Step 5: Solve for x
    x = 147,728,543,691.99/412,701.77
  6. Step 6: Final answer
    x = 357,954.71

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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.