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Finding the Fourth Proportional to 615,233.86, 922,845.02 and 194,509.78

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Solution

The fourth proportional to 615,233.86, 922,845.02 and 194,509.78 is: 291,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,233.86 : 922,845.02 = 194,509.78 : x
  2. Step 2: Convert to fraction form
    615,233.86/922,845.02 = 194,509.78/x
  3. Step 3: Cross multiply
    615,233.86x = 922,845.02 × 194,509.78
  4. Step 4: Simplify right side
    615,233.86x = 179,502,381,814.30
  5. Step 5: Solve for x
    x = 179,502,381,814.30/615,233.86
  6. Step 6: Final answer
    x = 291,762.85

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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.