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Finding the Fourth Proportional to 615,521.48, 923,416.14 and 194,801

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Solution

The fourth proportional to 615,521.48, 923,416.14 and 194,801 is: 292,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,521.48 : 923,416.14 = 194,801 : x
  2. Step 2: Convert to fraction form
    615,521.48/923,416.14 = 194,801/x
  3. Step 3: Cross multiply
    615,521.48x = 923,416.14 × 194,801
  4. Step 4: Simplify right side
    615,521.48x = 179,882,387,488.14
  5. Step 5: Solve for x
    x = 179,882,387,488.14/615,521.48
  6. Step 6: Final answer
    x = 292,243.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.