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Finding the Fourth Proportional to 723,416.72, 998,339.76 and 401,108

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Solution

The fourth proportional to 723,416.72, 998,339.76 and 401,108 is: 553,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,416.72 : 998,339.76 = 401,108 : x
  2. Step 2: Convert to fraction form
    723,416.72/998,339.76 = 401,108/x
  3. Step 3: Cross multiply
    723,416.72x = 998,339.76 × 401,108
  4. Step 4: Simplify right side
    723,416.72x = 400,442,064,454.08
  5. Step 5: Solve for x
    x = 400,442,064,454.08/723,416.72
  6. Step 6: Final answer
    x = 553,542.73

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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.