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Finding the Fourth Proportional to 538,157.71, 806,841.28 and 257,871.79

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Solution

The fourth proportional to 538,157.71, 806,841.28 and 257,871.79 is: 386,618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,157.71 : 806,841.28 = 257,871.79 : x
  2. Step 2: Convert to fraction form
    538,157.71/806,841.28 = 257,871.79/x
  3. Step 3: Cross multiply
    538,157.71x = 806,841.28 × 257,871.79
  4. Step 4: Simplify right side
    538,157.71x = 208,061,605,119.49
  5. Step 5: Solve for x
    x = 208,061,605,119.49/538,157.71
  6. Step 6: Final answer
    x = 386,618.27

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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.