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Finding the Fourth Proportional to 408,880.24, 564,254.64 and 227,588.30

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Solution

The fourth proportional to 408,880.24, 564,254.64 and 227,588.30 is: 314,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,880.24 : 564,254.64 = 227,588.30 : x
  2. Step 2: Convert to fraction form
    408,880.24/564,254.64 = 227,588.30/x
  3. Step 3: Cross multiply
    408,880.24x = 564,254.64 × 227,588.30
  4. Step 4: Simplify right side
    408,880.24x = 128,417,753,579.39
  5. Step 5: Solve for x
    x = 128,417,753,579.39/408,880.24
  6. Step 6: Final answer
    x = 314,071.80

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1.5x scale

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.