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Finding the Fourth Proportional to 412,747.18, 569,349.78 and 259,542.90

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Solution

The fourth proportional to 412,747.18, 569,349.78 and 259,542.90 is: 358,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,747.18 : 569,349.78 = 259,542.90 : x
  2. Step 2: Convert to fraction form
    412,747.18/569,349.78 = 259,542.90/x
  3. Step 3: Cross multiply
    412,747.18x = 569,349.78 × 259,542.90
  4. Step 4: Simplify right side
    412,747.18x = 147,770,693,015.56
  5. Step 5: Solve for x
    x = 147,770,693,015.56/412,747.18
  6. Step 6: Final answer
    x = 358,017.45

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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.