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Finding the Fourth Proportional to 461,322.90, 691,656.26 and 176,772.33

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Solution

The fourth proportional to 461,322.90, 691,656.26 and 176,772.33 is: 265,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,322.90 : 691,656.26 = 176,772.33 : x
  2. Step 2: Convert to fraction form
    461,322.90/691,656.26 = 176,772.33/x
  3. Step 3: Cross multiply
    461,322.90x = 691,656.26 × 176,772.33
  4. Step 4: Simplify right side
    461,322.90x = 122,265,687,755.42
  5. Step 5: Solve for x
    x = 122,265,687,755.42/461,322.90
  6. Step 6: Final answer
    x = 265,032.77

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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.