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Finding the Fourth Proportional to 713,221.97, 984,347.25 and 441,377.42

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Solution

The fourth proportional to 713,221.97, 984,347.25 and 441,377.42 is: 609,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,221.97 : 984,347.25 = 441,377.42 : x
  2. Step 2: Convert to fraction form
    713,221.97/984,347.25 = 441,377.42/x
  3. Step 3: Cross multiply
    713,221.97x = 984,347.25 × 441,377.42
  4. Step 4: Simplify right side
    713,221.97x = 434,468,642,460.47
  5. Step 5: Solve for x
    x = 434,468,642,460.47/713,221.97
  6. Step 6: Final answer
    x = 609,163.29

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Double scale
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1.5x scale

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.