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Finding the Fourth Proportional to 461,394.90, 691,617.35 and 177,009.72

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Solution

The fourth proportional to 461,394.90, 691,617.35 and 177,009.72 is: 265,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,394.90 : 691,617.35 = 177,009.72 : x
  2. Step 2: Convert to fraction form
    461,394.90/691,617.35 = 177,009.72/x
  3. Step 3: Cross multiply
    461,394.90x = 691,617.35 × 177,009.72
  4. Step 4: Simplify right side
    461,394.90x = 122,422,993,470.64
  5. Step 5: Solve for x
    x = 122,422,993,470.64/461,394.90
  6. Step 6: Final answer
    x = 265,332.35

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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.