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Finding the Fourth Proportional to 408,880.40, 564,242.38 and 227,587.67

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Solution

The fourth proportional to 408,880.40, 564,242.38 and 227,587.67 is: 314,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,880.40 : 564,242.38 = 227,587.67 : x
  2. Step 2: Convert to fraction form
    408,880.40/564,242.38 = 227,587.67/x
  3. Step 3: Cross multiply
    408,880.40x = 564,242.38 × 227,587.67
  4. Step 4: Simplify right side
    408,880.40x = 128,414,607,305.18
  5. Step 5: Solve for x
    x = 128,414,607,305.18/408,880.40
  6. Step 6: Final answer
    x = 314,063.99

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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.