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Finding the Fourth Proportional to 538,159.71, 806,844.28 and 257,873.79

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Solution

The fourth proportional to 538,159.71, 806,844.28 and 257,873.79 is: 386,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,159.71 : 806,844.28 = 257,873.79 : x
  2. Step 2: Convert to fraction form
    538,159.71/806,844.28 = 257,873.79/x
  3. Step 3: Cross multiply
    538,159.71x = 806,844.28 × 257,873.79
  4. Step 4: Simplify right side
    538,159.71x = 208,063,992,423.42
  5. Step 5: Solve for x
    x = 208,063,992,423.42/538,159.71
  6. Step 6: Final answer
    x = 386,621.27

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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.