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Finding the Fourth Proportional to 484,585.20, 726,197.36 and 413,138.32

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Solution

The fourth proportional to 484,585.20, 726,197.36 and 413,138.32 is: 619,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,585.20 : 726,197.36 = 413,138.32 : x
  2. Step 2: Convert to fraction form
    484,585.20/726,197.36 = 413,138.32/x
  3. Step 3: Cross multiply
    484,585.20x = 726,197.36 × 413,138.32
  4. Step 4: Simplify right side
    484,585.20x = 300,019,957,298.84
  5. Step 5: Solve for x
    x = 300,019,957,298.84/484,585.20
  6. Step 6: Final answer
    x = 619,127.36

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1.5x scale

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.