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Finding the Fourth Proportional to 615,245.84, 922,863 and 194,521.76

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Solution

The fourth proportional to 615,245.84, 922,863 and 194,521.76 is: 291,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,245.84 : 922,863 = 194,521.76 : x
  2. Step 2: Convert to fraction form
    615,245.84/922,863 = 194,521.76/x
  3. Step 3: Cross multiply
    615,245.84x = 922,863 × 194,521.76
  4. Step 4: Simplify right side
    615,245.84x = 179,516,934,998.88
  5. Step 5: Solve for x
    x = 179,516,934,998.88/615,245.84
  6. Step 6: Final answer
    x = 291,780.82

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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.