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Finding the Fourth Proportional to 667,056.82, 920,531.80 and 361,125.11

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Solution

The fourth proportional to 667,056.82, 920,531.80 and 361,125.11 is: 498,349.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,056.82 : 920,531.80 = 361,125.11 : x
  2. Step 2: Convert to fraction form
    667,056.82/920,531.80 = 361,125.11/x
  3. Step 3: Cross multiply
    667,056.82x = 920,531.80 × 361,125.11
  4. Step 4: Simplify right side
    667,056.82x = 332,427,145,727.87
  5. Step 5: Solve for x
    x = 332,427,145,727.87/667,056.82
  6. Step 6: Final answer
    x = 498,349.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.