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Finding the Fourth Proportional to 534,897.82, 802,396.18 and 193,426.47

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Solution

The fourth proportional to 534,897.82, 802,396.18 and 193,426.47 is: 290,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,897.82 : 802,396.18 = 193,426.47 : x
  2. Step 2: Convert to fraction form
    534,897.82/802,396.18 = 193,426.47/x
  3. Step 3: Cross multiply
    534,897.82x = 802,396.18 × 193,426.47
  4. Step 4: Simplify right side
    534,897.82x = 155,204,662,644.88
  5. Step 5: Solve for x
    x = 155,204,662,644.88/534,897.82
  6. Step 6: Final answer
    x = 290,157.59

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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.