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Finding the Fourth Proportional to 305,440.30, 458,160.45 and 83,824.30

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Solution

The fourth proportional to 305,440.30, 458,160.45 and 83,824.30 is: 125,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,440.30 : 458,160.45 = 83,824.30 : x
  2. Step 2: Convert to fraction form
    305,440.30/458,160.45 = 83,824.30/x
  3. Step 3: Cross multiply
    305,440.30x = 458,160.45 × 83,824.30
  4. Step 4: Simplify right side
    305,440.30x = 38,404,979,008.94
  5. Step 5: Solve for x
    x = 38,404,979,008.94/305,440.30
  6. Step 6: Final answer
    x = 125,736.45

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Similar ratio
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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.