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Finding the Fourth Proportional to 524,193, 723,386.82 and 285,729

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Solution

The fourth proportional to 524,193, 723,386.82 and 285,729 is: 394,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,193 : 723,386.82 = 285,729 : x
  2. Step 2: Convert to fraction form
    524,193/723,386.82 = 285,729/x
  3. Step 3: Cross multiply
    524,193x = 723,386.82 × 285,729
  4. Step 4: Simplify right side
    524,193x = 206,692,592,691.78
  5. Step 5: Solve for x
    x = 206,692,592,691.78/524,193
  6. Step 6: Final answer
    x = 394,306.28

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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.