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Finding the Fourth Proportional to 406,766.92, 561,148.50 and 255,947.08

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Solution

The fourth proportional to 406,766.92, 561,148.50 and 255,947.08 is: 353,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,766.92 : 561,148.50 = 255,947.08 : x
  2. Step 2: Convert to fraction form
    406,766.92/561,148.50 = 255,947.08/x
  3. Step 3: Cross multiply
    406,766.92x = 561,148.50 × 255,947.08
  4. Step 4: Simplify right side
    406,766.92x = 143,624,320,021.38
  5. Step 5: Solve for x
    x = 143,624,320,021.38/406,766.92
  6. Step 6: Final answer
    x = 353,087.51

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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.