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Finding the Fourth Proportional to 410,796.38, 615,685.89 and 232,763.65

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Solution

The fourth proportional to 410,796.38, 615,685.89 and 232,763.65 is: 348,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,796.38 : 615,685.89 = 232,763.65 : x
  2. Step 2: Convert to fraction form
    410,796.38/615,685.89 = 232,763.65/x
  3. Step 3: Cross multiply
    410,796.38x = 615,685.89 × 232,763.65
  4. Step 4: Simplify right side
    410,796.38x = 143,309,295,009.90
  5. Step 5: Solve for x
    x = 143,309,295,009.90/410,796.38
  6. Step 6: Final answer
    x = 348,857.25

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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.