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Finding the Fourth Proportional to 604,344.27, 906,417.87 and 177,780.33

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Solution

The fourth proportional to 604,344.27, 906,417.87 and 177,780.33 is: 266,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,344.27 : 906,417.87 = 177,780.33 : x
  2. Step 2: Convert to fraction form
    604,344.27/906,417.87 = 177,780.33/x
  3. Step 3: Cross multiply
    604,344.27x = 906,417.87 × 177,780.33
  4. Step 4: Simplify right side
    604,344.27x = 161,143,268,046.50
  5. Step 5: Solve for x
    x = 161,143,268,046.50/604,344.27
  6. Step 6: Final answer
    x = 266,641.51

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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.