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Finding the Fourth Proportional to 410,462.68, 615,786.36 and 144,241.60

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Solution

The fourth proportional to 410,462.68, 615,786.36 and 144,241.60 is: 216,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,462.68 : 615,786.36 = 144,241.60 : x
  2. Step 2: Convert to fraction form
    410,462.68/615,786.36 = 144,241.60/x
  3. Step 3: Cross multiply
    410,462.68x = 615,786.36 × 144,241.60
  4. Step 4: Simplify right side
    410,462.68x = 88,822,009,824.58
  5. Step 5: Solve for x
    x = 88,822,009,824.58/410,462.68
  6. Step 6: Final answer
    x = 216,394.85

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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.