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Finding the Fourth Proportional to 615,520.48, 923,414.64 and 194,800

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Solution

The fourth proportional to 615,520.48, 923,414.64 and 194,800 is: 292,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,520.48 : 923,414.64 = 194,800 : x
  2. Step 2: Convert to fraction form
    615,520.48/923,414.64 = 194,800/x
  3. Step 3: Cross multiply
    615,520.48x = 923,414.64 × 194,800
  4. Step 4: Simplify right side
    615,520.48x = 179,881,171,872
  5. Step 5: Solve for x
    x = 179,881,171,872/615,520.48
  6. Step 6: Final answer
    x = 292,242.38

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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.