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Finding the Fourth Proportional to 410,369.60, 615,476.64 and 144,067.52

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Solution

The fourth proportional to 410,369.60, 615,476.64 and 144,067.52 is: 216,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,369.60 : 615,476.64 = 144,067.52 : x
  2. Step 2: Convert to fraction form
    410,369.60/615,476.64 = 144,067.52/x
  3. Step 3: Cross multiply
    410,369.60x = 615,476.64 × 144,067.52
  4. Step 4: Simplify right side
    410,369.60x = 88,670,193,142.73
  5. Step 5: Solve for x
    x = 88,670,193,142.73/410,369.60
  6. Step 6: Final answer
    x = 216,073.98

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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.