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Finding the Fourth Proportional to 461,159.80, 691,836.90 and 194,783.20

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Solution

The fourth proportional to 461,159.80, 691,836.90 and 194,783.20 is: 292,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,159.80 : 691,836.90 = 194,783.20 : x
  2. Step 2: Convert to fraction form
    461,159.80/691,836.90 = 194,783.20/x
  3. Step 3: Cross multiply
    461,159.80x = 691,836.90 × 194,783.20
  4. Step 4: Simplify right side
    461,159.80x = 134,758,205,260.08
  5. Step 5: Solve for x
    x = 134,758,205,260.08/461,159.80
  6. Step 6: Final answer
    x = 292,215.86

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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.