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Finding the Fourth Proportional to 461,017.50, 691,798.41 and 194,760.78

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Solution

The fourth proportional to 461,017.50, 691,798.41 and 194,760.78 is: 292,256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,017.50 : 691,798.41 = 194,760.78 : x
  2. Step 2: Convert to fraction form
    461,017.50/691,798.41 = 194,760.78/x
  3. Step 3: Cross multiply
    461,017.50x = 691,798.41 × 194,760.78
  4. Step 4: Simplify right side
    461,017.50x = 134,735,197,934.36
  5. Step 5: Solve for x
    x = 134,735,197,934.36/461,017.50
  6. Step 6: Final answer
    x = 292,256.15

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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.