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Finding the Fourth Proportional to 390,335.15, 538,663.38 and 218,259.34

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Solution

The fourth proportional to 390,335.15, 538,663.38 and 218,259.34 is: 301,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,335.15 : 538,663.38 = 218,259.34 : x
  2. Step 2: Convert to fraction form
    390,335.15/538,663.38 = 218,259.34/x
  3. Step 3: Cross multiply
    390,335.15x = 538,663.38 × 218,259.34
  4. Step 4: Simplify right side
    390,335.15x = 117,568,313,800.97
  5. Step 5: Solve for x
    x = 117,568,313,800.97/390,335.15
  6. Step 6: Final answer
    x = 301,198.38

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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.