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Finding the Fourth Proportional to 791,701, 1,092,616.50 and 434,074.12

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Solution

The fourth proportional to 791,701, 1,092,616.50 and 434,074.12 is: 599,060.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,701 : 1,092,616.50 = 434,074.12 : x
  2. Step 2: Convert to fraction form
    791,701/1,092,616.50 = 434,074.12/x
  3. Step 3: Cross multiply
    791,701x = 1,092,616.50 × 434,074.12
  4. Step 4: Simplify right side
    791,701x = 474,276,545,734.98
  5. Step 5: Solve for x
    x = 474,276,545,734.98/791,701
  6. Step 6: Final answer
    x = 599,060.18

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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.