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Finding the Fourth Proportional to 542,523, 748,560.74 and 324,697.80

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Solution

The fourth proportional to 542,523, 748,560.74 and 324,697.80 is: 448,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,523 : 748,560.74 = 324,697.80 : x
  2. Step 2: Convert to fraction form
    542,523/748,560.74 = 324,697.80/x
  3. Step 3: Cross multiply
    542,523x = 748,560.74 × 324,697.80
  4. Step 4: Simplify right side
    542,523x = 243,056,025,444.37
  5. Step 5: Solve for x
    x = 243,056,025,444.37/542,523
  6. Step 6: Final answer
    x = 448,010.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.