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Finding the Fourth Proportional to 399,031.82, 550,646.79 and 217,739.24

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Solution

The fourth proportional to 399,031.82, 550,646.79 and 217,739.24 is: 300,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,031.82 : 550,646.79 = 217,739.24 : x
  2. Step 2: Convert to fraction form
    399,031.82/550,646.79 = 217,739.24/x
  3. Step 3: Cross multiply
    399,031.82x = 550,646.79 × 217,739.24
  4. Step 4: Simplify right side
    399,031.82x = 119,897,410,809.81
  5. Step 5: Solve for x
    x = 119,897,410,809.81/399,031.82
  6. Step 6: Final answer
    x = 300,470.81

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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.