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Finding the Fourth Proportional to 484,152.80, 726,920.40 and 274,200.80

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Solution

The fourth proportional to 484,152.80, 726,920.40 and 274,200.80 is: 411,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,152.80 : 726,920.40 = 274,200.80 : x
  2. Step 2: Convert to fraction form
    484,152.80/726,920.40 = 274,200.80/x
  3. Step 3: Cross multiply
    484,152.80x = 726,920.40 × 274,200.80
  4. Step 4: Simplify right side
    484,152.80x = 199,322,155,216.32
  5. Step 5: Solve for x
    x = 199,322,155,216.32/484,152.80
  6. Step 6: Final answer
    x = 411,692.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.