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Finding the Fourth Proportional to 410,458.80, 615,753 and 173,802.96

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Solution

The fourth proportional to 410,458.80, 615,753 and 173,802.96 is: 260,731.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,458.80 : 615,753 = 173,802.96 : x
  2. Step 2: Convert to fraction form
    410,458.80/615,753 = 173,802.96/x
  3. Step 3: Cross multiply
    410,458.80x = 615,753 × 173,802.96
  4. Step 4: Simplify right side
    410,458.80x = 107,019,694,028.88
  5. Step 5: Solve for x
    x = 107,019,694,028.88/410,458.80
  6. Step 6: Final answer
    x = 260,731.88

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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.