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Finding the Fourth Proportional to 791,729, 1,092,586.02 and 434,033

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Solution

The fourth proportional to 791,729, 1,092,586.02 and 434,033 is: 598,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,729 : 1,092,586.02 = 434,033 : x
  2. Step 2: Convert to fraction form
    791,729/1,092,586.02 = 434,033/x
  3. Step 3: Cross multiply
    791,729x = 1,092,586.02 × 434,033
  4. Step 4: Simplify right side
    791,729x = 474,218,388,018.66
  5. Step 5: Solve for x
    x = 474,218,388,018.66/791,729
  6. Step 6: Final answer
    x = 598,965.54

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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.