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Finding the Fourth Proportional to 392,533.80, 588,195.90 and 292,223.40

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Solution

The fourth proportional to 392,533.80, 588,195.90 and 292,223.40 is: 437,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,533.80 : 588,195.90 = 292,223.40 : x
  2. Step 2: Convert to fraction form
    392,533.80/588,195.90 = 292,223.40/x
  3. Step 3: Cross multiply
    392,533.80x = 588,195.90 × 292,223.40
  4. Step 4: Simplify right side
    392,533.80x = 171,884,605,764.06
  5. Step 5: Solve for x
    x = 171,884,605,764.06/392,533.80
  6. Step 6: Final answer
    x = 437,884.85

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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.