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Finding the Fourth Proportional to 615,656.40, 923,513.40 and 194,965.20

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Solution

The fourth proportional to 615,656.40, 923,513.40 and 194,965.20 is: 292,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,656.40 : 923,513.40 = 194,965.20 : x
  2. Step 2: Convert to fraction form
    615,656.40/923,513.40 = 194,965.20/x
  3. Step 3: Cross multiply
    615,656.40x = 923,513.40 × 194,965.20
  4. Step 4: Simplify right side
    615,656.40x = 180,052,974,733.68
  5. Step 5: Solve for x
    x = 180,052,974,733.68/615,656.40
  6. Step 6: Final answer
    x = 292,456.92

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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.