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Finding the Fourth Proportional to 410,505.75, 615,346.71 and 170,292.96

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Solution

The fourth proportional to 410,505.75, 615,346.71 and 170,292.96 is: 255,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,505.75 : 615,346.71 = 170,292.96 : x
  2. Step 2: Convert to fraction form
    410,505.75/615,346.71 = 170,292.96/x
  3. Step 3: Cross multiply
    410,505.75x = 615,346.71 × 170,292.96
  4. Step 4: Simplify right side
    410,505.75x = 104,789,212,672.16
  5. Step 5: Solve for x
    x = 104,789,212,672.16/410,505.75
  6. Step 6: Final answer
    x = 255,268.56

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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.