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Finding the Fourth Proportional to 461,160.80, 691,838.40 and 194,784.20

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Solution

The fourth proportional to 461,160.80, 691,838.40 and 194,784.20 is: 292,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,160.80 : 691,838.40 = 194,784.20 : x
  2. Step 2: Convert to fraction form
    461,160.80/691,838.40 = 194,784.20/x
  3. Step 3: Cross multiply
    461,160.80x = 691,838.40 × 194,784.20
  4. Step 4: Simplify right side
    461,160.80x = 134,759,189,273.28
  5. Step 5: Solve for x
    x = 134,759,189,273.28/461,160.80
  6. Step 6: Final answer
    x = 292,217.36

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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.