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Finding the Fourth Proportional to 615,231.86, 922,842.02 and 194,507.78

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Solution

The fourth proportional to 615,231.86, 922,842.02 and 194,507.78 is: 291,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,231.86 : 922,842.02 = 194,507.78 : x
  2. Step 2: Convert to fraction form
    615,231.86/922,842.02 = 194,507.78/x
  3. Step 3: Cross multiply
    615,231.86x = 922,842.02 × 194,507.78
  4. Step 4: Simplify right side
    615,231.86x = 179,499,948,472.98
  5. Step 5: Solve for x
    x = 179,499,948,472.98/615,231.86
  6. Step 6: Final answer
    x = 291,759.84

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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.