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Finding the Fourth Proportional to 538,115.40, 806,661.10 and 201,065.80

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Solution

The fourth proportional to 538,115.40, 806,661.10 and 201,065.80 is: 301,407.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,115.40 : 806,661.10 = 201,065.80 : x
  2. Step 2: Convert to fraction form
    538,115.40/806,661.10 = 201,065.80/x
  3. Step 3: Cross multiply
    538,115.40x = 806,661.10 × 201,065.80
  4. Step 4: Simplify right side
    538,115.40x = 162,191,959,400.38
  5. Step 5: Solve for x
    x = 162,191,959,400.38/538,115.40
  6. Step 6: Final answer
    x = 301,407.39

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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.