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Finding the Fourth Proportional to 523,350.18, 722,240.68 and 293,947.82

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Solution

The fourth proportional to 523,350.18, 722,240.68 and 293,947.82 is: 405,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,350.18 : 722,240.68 = 293,947.82 : x
  2. Step 2: Convert to fraction form
    523,350.18/722,240.68 = 293,947.82/x
  3. Step 3: Cross multiply
    523,350.18x = 722,240.68 × 293,947.82
  4. Step 4: Simplify right side
    523,350.18x = 212,301,073,401.32
  5. Step 5: Solve for x
    x = 212,301,073,401.32/523,350.18
  6. Step 6: Final answer
    x = 405,657.78

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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.