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Finding the Fourth Proportional to 484,088.80, 726,824.40 and 274,136.80

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Solution

The fourth proportional to 484,088.80, 726,824.40 and 274,136.80 is: 411,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,088.80 : 726,824.40 = 274,136.80 : x
  2. Step 2: Convert to fraction form
    484,088.80/726,824.40 = 274,136.80/x
  3. Step 3: Cross multiply
    484,088.80x = 726,824.40 × 274,136.80
  4. Step 4: Simplify right side
    484,088.80x = 199,249,315,177.92
  5. Step 5: Solve for x
    x = 199,249,315,177.92/484,088.80
  6. Step 6: Final answer
    x = 411,596.62

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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.