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Finding the Fourth Proportional to 305,223.45, 457,999.20 and 127,748.40

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Solution

The fourth proportional to 305,223.45, 457,999.20 and 127,748.40 is: 191,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,223.45 : 457,999.20 = 127,748.40 : x
  2. Step 2: Convert to fraction form
    305,223.45/457,999.20 = 127,748.40/x
  3. Step 3: Cross multiply
    305,223.45x = 457,999.20 × 127,748.40
  4. Step 4: Simplify right side
    305,223.45x = 58,508,665,001.28
  5. Step 5: Solve for x
    x = 58,508,665,001.28/305,223.45
  6. Step 6: Final answer
    x = 191,691.25

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1.5x scale

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.