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Finding the Fourth Proportional to 419,513.24, 578,937.21 and 228,526.22

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Solution

The fourth proportional to 419,513.24, 578,937.21 and 228,526.22 is: 315,371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,513.24 : 578,937.21 = 228,526.22 : x
  2. Step 2: Convert to fraction form
    419,513.24/578,937.21 = 228,526.22/x
  3. Step 3: Cross multiply
    419,513.24x = 578,937.21 × 228,526.22
  4. Step 4: Simplify right side
    419,513.24x = 132,302,332,218.65
  5. Step 5: Solve for x
    x = 132,302,332,218.65/419,513.24
  6. Step 6: Final answer
    x = 315,371.05

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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.