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Finding the Fourth Proportional to 400,962.56, 553,328.75 and 217,201.55

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Solution

The fourth proportional to 400,962.56, 553,328.75 and 217,201.55 is: 299,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,962.56 : 553,328.75 = 217,201.55 : x
  2. Step 2: Convert to fraction form
    400,962.56/553,328.75 = 217,201.55/x
  3. Step 3: Cross multiply
    400,962.56x = 553,328.75 × 217,201.55
  4. Step 4: Simplify right side
    400,962.56x = 120,183,863,048.40
  5. Step 5: Solve for x
    x = 120,183,863,048.40/400,962.56
  6. Step 6: Final answer
    x = 299,738.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.