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Finding the Fourth Proportional to 412,702.92, 569,288.74 and 259,498.56

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Solution

The fourth proportional to 412,702.92, 569,288.74 and 259,498.56 is: 357,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,702.92 : 569,288.74 = 259,498.56 : x
  2. Step 2: Convert to fraction form
    412,702.92/569,288.74 = 259,498.56/x
  3. Step 3: Cross multiply
    412,702.92x = 569,288.74 × 259,498.56
  4. Step 4: Simplify right side
    412,702.92x = 147,729,609,720.50
  5. Step 5: Solve for x
    x = 147,729,609,720.50/412,702.92
  6. Step 6: Final answer
    x = 357,956.30

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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.