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Finding the Fourth Proportional to 615,243.84, 922,860 and 194,519.76

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Solution

The fourth proportional to 615,243.84, 922,860 and 194,519.76 is: 291,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,243.84 : 922,860 = 194,519.76 : x
  2. Step 2: Convert to fraction form
    615,243.84/922,860 = 194,519.76/x
  3. Step 3: Cross multiply
    615,243.84x = 922,860 × 194,519.76
  4. Step 4: Simplify right side
    615,243.84x = 179,514,505,713.60
  5. Step 5: Solve for x
    x = 179,514,505,713.60/615,243.84
  6. Step 6: Final answer
    x = 291,777.82

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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.