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Finding the Fourth Proportional to 461,393.90, 691,615.85 and 177,008.72

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Solution

The fourth proportional to 461,393.90, 691,615.85 and 177,008.72 is: 265,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,393.90 : 691,615.85 = 177,008.72 : x
  2. Step 2: Convert to fraction form
    461,393.90/691,615.85 = 177,008.72/x
  3. Step 3: Cross multiply
    461,393.90x = 691,615.85 × 177,008.72
  4. Step 4: Simplify right side
    461,393.90x = 122,422,035,684.69
  5. Step 5: Solve for x
    x = 122,422,035,684.69/461,393.90
  6. Step 6: Final answer
    x = 265,330.85

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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.