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Finding the Fourth Proportional to 534,768.80, 737,969.10 and 293,046.08

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Solution

The fourth proportional to 534,768.80, 737,969.10 and 293,046.08 is: 404,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,768.80 : 737,969.10 = 293,046.08 : x
  2. Step 2: Convert to fraction form
    534,768.80/737,969.10 = 293,046.08/x
  3. Step 3: Cross multiply
    534,768.80x = 737,969.10 × 293,046.08
  4. Step 4: Simplify right side
    534,768.80x = 216,258,951,916.13
  5. Step 5: Solve for x
    x = 216,258,951,916.13/534,768.80
  6. Step 6: Final answer
    x = 404,397.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.