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Finding the Fourth Proportional to 410,562.69, 615,861.05 and 140,876.24

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Solution

The fourth proportional to 410,562.69, 615,861.05 and 140,876.24 is: 211,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,562.69 : 615,861.05 = 140,876.24 : x
  2. Step 2: Convert to fraction form
    410,562.69/615,861.05 = 140,876.24/x
  3. Step 3: Cross multiply
    410,562.69x = 615,861.05 × 140,876.24
  4. Step 4: Simplify right side
    410,562.69x = 86,760,185,302.77
  5. Step 5: Solve for x
    x = 86,760,185,302.77/410,562.69
  6. Step 6: Final answer
    x = 211,320.19

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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.