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Finding the Fourth Proportional to 361,424.06, 498,768.13 and 200,281.80

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Solution

The fourth proportional to 361,424.06, 498,768.13 and 200,281.80 is: 276,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,424.06 : 498,768.13 = 200,281.80 : x
  2. Step 2: Convert to fraction form
    361,424.06/498,768.13 = 200,281.80/x
  3. Step 3: Cross multiply
    361,424.06x = 498,768.13 × 200,281.80
  4. Step 4: Simplify right side
    361,424.06x = 99,894,178,174.20
  5. Step 5: Solve for x
    x = 99,894,178,174.20/361,424.06
  6. Step 6: Final answer
    x = 276,390.51

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1.5x scale

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.