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Finding the Fourth Proportional to 361,359.54, 498,692.14 and 200,214.54

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Solution

The fourth proportional to 361,359.54, 498,692.14 and 200,214.54 is: 276,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,359.54 : 498,692.14 = 200,214.54 : x
  2. Step 2: Convert to fraction form
    361,359.54/498,692.14 = 200,214.54/x
  3. Step 3: Cross multiply
    361,359.54x = 498,692.14 × 200,214.54
  4. Step 4: Simplify right side
    361,359.54x = 99,845,417,411.72
  5. Step 5: Solve for x
    x = 99,845,417,411.72/361,359.54
  6. Step 6: Final answer
    x = 276,304.92

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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.