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Finding the Fourth Proportional to 484,214.80, 726,322.20 and 437,558.80

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Solution

The fourth proportional to 484,214.80, 726,322.20 and 437,558.80 is: 656,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,214.80 : 726,322.20 = 437,558.80 : x
  2. Step 2: Convert to fraction form
    484,214.80/726,322.20 = 437,558.80/x
  3. Step 3: Cross multiply
    484,214.80x = 726,322.20 × 437,558.80
  4. Step 4: Simplify right side
    484,214.80x = 317,808,670,245.36
  5. Step 5: Solve for x
    x = 317,808,670,245.36/484,214.80
  6. Step 6: Final answer
    x = 656,338.20

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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.