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Finding the Fourth Proportional to 483,549.52, 725,447.30 and 284,038.62

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Solution

The fourth proportional to 483,549.52, 725,447.30 and 284,038.62 is: 426,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,549.52 : 725,447.30 = 284,038.62 : x
  2. Step 2: Convert to fraction form
    483,549.52/725,447.30 = 284,038.62/x
  3. Step 3: Cross multiply
    483,549.52x = 725,447.30 × 284,038.62
  4. Step 4: Simplify right side
    483,549.52x = 206,055,049,974.73
  5. Step 5: Solve for x
    x = 206,055,049,974.73/483,549.52
  6. Step 6: Final answer
    x = 426,130.19

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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.