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Finding the Fourth Proportional to 514,672.56, 710,249.80 and 285,233.60

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Solution

The fourth proportional to 514,672.56, 710,249.80 and 285,233.60 is: 393,623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,672.56 : 710,249.80 = 285,233.60 : x
  2. Step 2: Convert to fraction form
    514,672.56/710,249.80 = 285,233.60/x
  3. Step 3: Cross multiply
    514,672.56x = 710,249.80 × 285,233.60
  4. Step 4: Simplify right side
    514,672.56x = 202,587,107,353.28
  5. Step 5: Solve for x
    x = 202,587,107,353.28/514,672.56
  6. Step 6: Final answer
    x = 393,623.29

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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.