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Finding the Fourth Proportional to 906,314, 1,359,382.68 and 275,233.28

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Solution

The fourth proportional to 906,314, 1,359,382.68 and 275,233.28 is: 412,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,314 : 1,359,382.68 = 275,233.28 : x
  2. Step 2: Convert to fraction form
    906,314/1,359,382.68 = 275,233.28/x
  3. Step 3: Cross multiply
    906,314x = 1,359,382.68 × 275,233.28
  4. Step 4: Simplify right side
    906,314x = 374,147,353,791.59
  5. Step 5: Solve for x
    x = 374,147,353,791.59/906,314
  6. Step 6: Final answer
    x = 412,823.10

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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.