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Finding the Fourth Proportional to 484,066.80, 726,298.85 and 214,052.49

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Solution

The fourth proportional to 484,066.80, 726,298.85 and 214,052.49 is: 321,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,066.80 : 726,298.85 = 214,052.49 : x
  2. Step 2: Convert to fraction form
    484,066.80/726,298.85 = 214,052.49/x
  3. Step 3: Cross multiply
    484,066.80x = 726,298.85 × 214,052.49
  4. Step 4: Simplify right side
    484,066.80x = 155,466,077,861.77
  5. Step 5: Solve for x
    x = 155,466,077,861.77/484,066.80
  6. Step 6: Final answer
    x = 321,166.58

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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.