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Finding the Fourth Proportional to 447,693.60, 671,659.20 and 194,865.60

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Solution

The fourth proportional to 447,693.60, 671,659.20 and 194,865.60 is: 292,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,693.60 : 671,659.20 = 194,865.60 : x
  2. Step 2: Convert to fraction form
    447,693.60/671,659.20 = 194,865.60/x
  3. Step 3: Cross multiply
    447,693.60x = 671,659.20 × 194,865.60
  4. Step 4: Simplify right side
    447,693.60x = 130,883,273,003.52
  5. Step 5: Solve for x
    x = 130,883,273,003.52/447,693.60
  6. Step 6: Final answer
    x = 292,350.11

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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.