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Finding the Fourth Proportional to 523,947.38, 723,047.38 and 285,483.38

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Solution

The fourth proportional to 523,947.38, 723,047.38 and 285,483.38 is: 393,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,947.38 : 723,047.38 = 285,483.38 : x
  2. Step 2: Convert to fraction form
    523,947.38/723,047.38 = 285,483.38/x
  3. Step 3: Cross multiply
    523,947.38x = 723,047.38 × 285,483.38
  4. Step 4: Simplify right side
    523,947.38x = 206,418,005,613.60
  5. Step 5: Solve for x
    x = 206,418,005,613.60/523,947.38
  6. Step 6: Final answer
    x = 393,967.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.