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Finding the Fourth Proportional to 412,748.18, 569,351.16 and 259,543.90

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Solution

The fourth proportional to 412,748.18, 569,351.16 and 259,543.90 is: 358,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,748.18 : 569,351.16 = 259,543.90 : x
  2. Step 2: Convert to fraction form
    412,748.18/569,351.16 = 259,543.90/x
  3. Step 3: Cross multiply
    412,748.18x = 569,351.16 × 259,543.90
  4. Step 4: Simplify right side
    412,748.18x = 147,771,620,535.92
  5. Step 5: Solve for x
    x = 147,771,620,535.92/412,748.18
  6. Step 6: Final answer
    x = 358,018.83

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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.