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Finding the Fourth Proportional to 514,816.27, 710,451.21 and 285,376.03

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Solution

The fourth proportional to 514,816.27, 710,451.21 and 285,376.03 is: 393,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,816.27 : 710,451.21 = 285,376.03 : x
  2. Step 2: Convert to fraction form
    514,816.27/710,451.21 = 285,376.03/x
  3. Step 3: Cross multiply
    514,816.27x = 710,451.21 × 285,376.03
  4. Step 4: Simplify right side
    514,816.27x = 202,745,745,818.50
  5. Step 5: Solve for x
    x = 202,745,745,818.50/514,816.27
  6. Step 6: Final answer
    x = 393,821.56

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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.