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Finding the Fourth Proportional to 410,215.43, 566,125.71 and 228,962.72

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Solution

The fourth proportional to 410,215.43, 566,125.71 and 228,962.72 is: 315,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,215.43 : 566,125.71 = 228,962.72 : x
  2. Step 2: Convert to fraction form
    410,215.43/566,125.71 = 228,962.72/x
  3. Step 3: Cross multiply
    410,215.43x = 566,125.71 × 228,962.72
  4. Step 4: Simplify right side
    410,215.43x = 129,621,682,423.53
  5. Step 5: Solve for x
    x = 129,621,682,423.53/410,215.43
  6. Step 6: Final answer
    x = 315,984.41

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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.