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Finding the Fourth Proportional to 412,702.28, 569,287.85 and 259,497.92

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Solution

The fourth proportional to 412,702.28, 569,287.85 and 259,497.92 is: 357,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,702.28 : 569,287.85 = 259,497.92 : x
  2. Step 2: Convert to fraction form
    412,702.28/569,287.85 = 259,497.92/x
  3. Step 3: Cross multiply
    412,702.28x = 569,287.85 × 259,497.92
  4. Step 4: Simplify right side
    412,702.28x = 147,729,008,812.34
  5. Step 5: Solve for x
    x = 147,729,008,812.34/412,702.28
  6. Step 6: Final answer
    x = 357,955.40

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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.