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Finding the Fourth Proportional to 538,275.40, 807,218.70 and 271,947.40

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Solution

The fourth proportional to 538,275.40, 807,218.70 and 271,947.40 is: 407,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,275.40 : 807,218.70 = 271,947.40 : x
  2. Step 2: Convert to fraction form
    538,275.40/807,218.70 = 271,947.40/x
  3. Step 3: Cross multiply
    538,275.40x = 807,218.70 × 271,947.40
  4. Step 4: Simplify right side
    538,275.40x = 219,521,026,696.38
  5. Step 5: Solve for x
    x = 219,521,026,696.38/538,275.40
  6. Step 6: Final answer
    x = 407,822.89

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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.