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Finding the Fourth Proportional to 410,481.42, 615,565.28 and 197,188.55

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Solution

The fourth proportional to 410,481.42, 615,565.28 and 197,188.55 is: 295,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,481.42 : 615,565.28 = 197,188.55 : x
  2. Step 2: Convert to fraction form
    410,481.42/615,565.28 = 197,188.55/x
  3. Step 3: Cross multiply
    410,481.42x = 615,565.28 × 197,188.55
  4. Step 4: Simplify right side
    410,481.42x = 121,382,426,725.63
  5. Step 5: Solve for x
    x = 121,382,426,725.63/410,481.42
  6. Step 6: Final answer
    x = 295,707.48

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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.