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Finding the Fourth Proportional to 615,647.40, 923,499.90 and 194,956.20

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Solution

The fourth proportional to 615,647.40, 923,499.90 and 194,956.20 is: 292,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,647.40 : 923,499.90 = 194,956.20 : x
  2. Step 2: Convert to fraction form
    615,647.40/923,499.90 = 194,956.20/x
  3. Step 3: Cross multiply
    615,647.40x = 923,499.90 × 194,956.20
  4. Step 4: Simplify right side
    615,647.40x = 180,042,031,204.38
  5. Step 5: Solve for x
    x = 180,042,031,204.38/615,647.40
  6. Step 6: Final answer
    x = 292,443.42

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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.