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Finding the Fourth Proportional to 484,102.20, 726,153.30 and 407,119.80

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Solution

The fourth proportional to 484,102.20, 726,153.30 and 407,119.80 is: 610,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,102.20 : 726,153.30 = 407,119.80 : x
  2. Step 2: Convert to fraction form
    484,102.20/726,153.30 = 407,119.80/x
  3. Step 3: Cross multiply
    484,102.20x = 726,153.30 × 407,119.80
  4. Step 4: Simplify right side
    484,102.20x = 295,631,386,265.34
  5. Step 5: Solve for x
    x = 295,631,386,265.34/484,102.20
  6. Step 6: Final answer
    x = 610,679.70

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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.