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Finding the Fourth Proportional to 461,000.89, 691,106.91 and 176,895.32

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Solution

The fourth proportional to 461,000.89, 691,106.91 and 176,895.32 is: 265,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,000.89 : 691,106.91 = 176,895.32 : x
  2. Step 2: Convert to fraction form
    461,000.89/691,106.91 = 176,895.32/x
  3. Step 3: Cross multiply
    461,000.89x = 691,106.91 × 176,895.32
  4. Step 4: Simplify right side
    461,000.89x = 122,253,577,998.66
  5. Step 5: Solve for x
    x = 122,253,577,998.66/461,000.89
  6. Step 6: Final answer
    x = 265,191.63

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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.