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Finding the Fourth Proportional to 361,448.83, 498,802.32 and 200,306.53

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Solution

The fourth proportional to 361,448.83, 498,802.32 and 200,306.53 is: 276,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,448.83 : 498,802.32 = 200,306.53 : x
  2. Step 2: Convert to fraction form
    361,448.83/498,802.32 = 200,306.53/x
  3. Step 3: Cross multiply
    361,448.83x = 498,802.32 × 200,306.53
  4. Step 4: Simplify right side
    361,448.83x = 99,913,358,379.61
  5. Step 5: Solve for x
    x = 99,913,358,379.61/361,448.83
  6. Step 6: Final answer
    x = 276,424.63

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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.