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Finding the Fourth Proportional to 615,930.48, 923,897.86 and 189,463.42

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Solution

The fourth proportional to 615,930.48, 923,897.86 and 189,463.42 is: 284,195.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,930.48 : 923,897.86 = 189,463.42 : x
  2. Step 2: Convert to fraction form
    615,930.48/923,897.86 = 189,463.42/x
  3. Step 3: Cross multiply
    615,930.48x = 923,897.86 × 189,463.42
  4. Step 4: Simplify right side
    615,930.48x = 175,044,848,286.28
  5. Step 5: Solve for x
    x = 175,044,848,286.28/615,930.48
  6. Step 6: Final answer
    x = 284,195.79

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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.