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Finding the Fourth Proportional to 791,699, 1,092,613.74 and 434,072.12

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Solution

The fourth proportional to 791,699, 1,092,613.74 and 434,072.12 is: 599,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,699 : 1,092,613.74 = 434,072.12 : x
  2. Step 2: Convert to fraction form
    791,699/1,092,613.74 = 434,072.12/x
  3. Step 3: Cross multiply
    791,699x = 1,092,613.74 × 434,072.12
  4. Step 4: Simplify right side
    791,699x = 474,273,162,462.93
  5. Step 5: Solve for x
    x = 474,273,162,462.93/791,699
  6. Step 6: Final answer
    x = 599,057.42

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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.