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Finding the Fourth Proportional to 490,218.96, 676,397.22 and 286,177.28

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Solution

The fourth proportional to 490,218.96, 676,397.22 and 286,177.28 is: 394,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,218.96 : 676,397.22 = 286,177.28 : x
  2. Step 2: Convert to fraction form
    490,218.96/676,397.22 = 286,177.28/x
  3. Step 3: Cross multiply
    490,218.96x = 676,397.22 × 286,177.28
  4. Step 4: Simplify right side
    490,218.96x = 193,569,513,237.18
  5. Step 5: Solve for x
    x = 193,569,513,237.18/490,218.96
  6. Step 6: Final answer
    x = 394,863.38

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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.