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Finding the Fourth Proportional to 400,393.92, 552,543.67 and 219,105.89

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Solution

The fourth proportional to 400,393.92, 552,543.67 and 219,105.89 is: 302,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,393.92 : 552,543.67 = 219,105.89 : x
  2. Step 2: Convert to fraction form
    400,393.92/552,543.67 = 219,105.89/x
  3. Step 3: Cross multiply
    400,393.92x = 552,543.67 × 219,105.89
  4. Step 4: Simplify right side
    400,393.92x = 121,065,575,270.48
  5. Step 5: Solve for x
    x = 121,065,575,270.48/400,393.92
  6. Step 6: Final answer
    x = 302,366.17

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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.