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Finding the Fourth Proportional to 410,274.42, 615,686.54 and 144,035.73

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Solution

The fourth proportional to 410,274.42, 615,686.54 and 144,035.73 is: 216,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,274.42 : 615,686.54 = 144,035.73 : x
  2. Step 2: Convert to fraction form
    410,274.42/615,686.54 = 144,035.73/x
  3. Step 3: Cross multiply
    410,274.42x = 615,686.54 × 144,035.73
  4. Step 4: Simplify right side
    410,274.42x = 88,680,859,519.90
  5. Step 5: Solve for x
    x = 88,680,859,519.90/410,274.42
  6. Step 6: Final answer
    x = 216,150.11

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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.