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Finding the Fourth Proportional to 409,744.16, 565,393.20 and 228,412.16

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Solution

The fourth proportional to 409,744.16, 565,393.20 and 228,412.16 is: 315,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,744.16 : 565,393.20 = 228,412.16 : x
  2. Step 2: Convert to fraction form
    409,744.16/565,393.20 = 228,412.16/x
  3. Step 3: Cross multiply
    409,744.16x = 565,393.20 × 228,412.16
  4. Step 4: Simplify right side
    409,744.16x = 129,142,682,061.31
  5. Step 5: Solve for x
    x = 129,142,682,061.31/409,744.16
  6. Step 6: Final answer
    x = 315,178.82

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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.