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Finding the Fourth Proportional to 419,527.91, 578,943.29 and 228,537.20

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Solution

The fourth proportional to 419,527.91, 578,943.29 and 228,537.20 is: 315,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,527.91 : 578,943.29 = 228,537.20 : x
  2. Step 2: Convert to fraction form
    419,527.91/578,943.29 = 228,537.20/x
  3. Step 3: Cross multiply
    419,527.91x = 578,943.29 × 228,537.20
  4. Step 4: Simplify right side
    419,527.91x = 132,310,074,417.99
  5. Step 5: Solve for x
    x = 132,310,074,417.99/419,527.91
  6. Step 6: Final answer
    x = 315,378.48

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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.