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Finding the Fourth Proportional to 410,448.70, 615,734.61 and 144,162.28

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Solution

The fourth proportional to 410,448.70, 615,734.61 and 144,162.28 is: 216,265.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,448.70 : 615,734.61 = 144,162.28 : x
  2. Step 2: Convert to fraction form
    410,448.70/615,734.61 = 144,162.28/x
  3. Step 3: Cross multiply
    410,448.70x = 615,734.61 × 144,162.28
  4. Step 4: Simplify right side
    410,448.70x = 88,765,705,252.51
  5. Step 5: Solve for x
    x = 88,765,705,252.51/410,448.70
  6. Step 6: Final answer
    x = 216,265.04

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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.