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Finding the Fourth Proportional to 361,424.03, 498,768.09 and 200,281.77

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Solution

The fourth proportional to 361,424.03, 498,768.09 and 200,281.77 is: 276,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,424.03 : 498,768.09 = 200,281.77 : x
  2. Step 2: Convert to fraction form
    361,424.03/498,768.09 = 200,281.77/x
  3. Step 3: Cross multiply
    361,424.03x = 498,768.09 × 200,281.77
  4. Step 4: Simplify right side
    361,424.03x = 99,894,155,884.72
  5. Step 5: Solve for x
    x = 99,894,155,884.72/361,424.03
  6. Step 6: Final answer
    x = 276,390.47

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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.