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Finding the Fourth Proportional to 541,918.88, 812,896.75 and 257,462.62

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Solution

The fourth proportional to 541,918.88, 812,896.75 and 257,462.62 is: 386,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,918.88 : 812,896.75 = 257,462.62 : x
  2. Step 2: Convert to fraction form
    541,918.88/812,896.75 = 257,462.62/x
  3. Step 3: Cross multiply
    541,918.88x = 812,896.75 × 257,462.62
  4. Step 4: Simplify right side
    541,918.88x = 209,290,528,382.43
  5. Step 5: Solve for x
    x = 209,290,528,382.43/541,918.88
  6. Step 6: Final answer
    x = 386,202.69

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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.