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Finding the Fourth Proportional to 534,704, 737,891.68 and 319,853.12

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Solution

The fourth proportional to 534,704, 737,891.68 and 319,853.12 is: 441,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,704 : 737,891.68 = 319,853.12 : x
  2. Step 2: Convert to fraction form
    534,704/737,891.68 = 319,853.12/x
  3. Step 3: Cross multiply
    534,704x = 737,891.68 × 319,853.12
  4. Step 4: Simplify right side
    534,704x = 236,016,956,070.04
  5. Step 5: Solve for x
    x = 236,016,956,070.04/534,704
  6. Step 6: Final answer
    x = 441,397.40

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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.