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Finding the Fourth Proportional to 410,712.40, 616,160.40 and 144,481.60

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Solution

The fourth proportional to 410,712.40, 616,160.40 and 144,481.60 is: 216,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,712.40 : 616,160.40 = 144,481.60 : x
  2. Step 2: Convert to fraction form
    410,712.40/616,160.40 = 144,481.60/x
  3. Step 3: Cross multiply
    410,712.40x = 616,160.40 × 144,481.60
  4. Step 4: Simplify right side
    410,712.40x = 89,023,840,448.64
  5. Step 5: Solve for x
    x = 89,023,840,448.64/410,712.40
  6. Step 6: Final answer
    x = 216,754.69

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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.