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Finding the Fourth Proportional to 361,488.68, 498,854.43 and 200,354.14

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Solution

The fourth proportional to 361,488.68, 498,854.43 and 200,354.14 is: 276,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,488.68 : 498,854.43 = 200,354.14 : x
  2. Step 2: Convert to fraction form
    361,488.68/498,854.43 = 200,354.14/x
  3. Step 3: Cross multiply
    361,488.68x = 498,854.43 × 200,354.14
  4. Step 4: Simplify right side
    361,488.68x = 99,947,550,307.84
  5. Step 5: Solve for x
    x = 99,947,550,307.84/361,488.68
  6. Step 6: Final answer
    x = 276,488.74

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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.