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Finding the Fourth Proportional to 561,514.39, 842,179.33 and 201,610.74

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Solution

The fourth proportional to 561,514.39, 842,179.33 and 201,610.74 is: 302,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,514.39 : 842,179.33 = 201,610.74 : x
  2. Step 2: Convert to fraction form
    561,514.39/842,179.33 = 201,610.74/x
  3. Step 3: Cross multiply
    561,514.39x = 842,179.33 × 201,610.74
  4. Step 4: Simplify right side
    561,514.39x = 169,792,395,472.87
  5. Step 5: Solve for x
    x = 169,792,395,472.87/561,514.39
  6. Step 6: Final answer
    x = 302,382.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.