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Finding the Fourth Proportional to 409,862.10, 614,793.15 and 276,017.70

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Solution

The fourth proportional to 409,862.10, 614,793.15 and 276,017.70 is: 414,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,862.10 : 614,793.15 = 276,017.70 : x
  2. Step 2: Convert to fraction form
    409,862.10/614,793.15 = 276,017.70/x
  3. Step 3: Cross multiply
    409,862.10x = 614,793.15 × 276,017.70
  4. Step 4: Simplify right side
    409,862.10x = 169,693,791,238.76
  5. Step 5: Solve for x
    x = 169,693,791,238.76/409,862.10
  6. Step 6: Final answer
    x = 414,026.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.