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Finding the Fourth Proportional to 408,963.16, 564,358.16 and 227,675.10

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Solution

The fourth proportional to 408,963.16, 564,358.16 and 227,675.10 is: 314,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,963.16 : 564,358.16 = 227,675.10 : x
  2. Step 2: Convert to fraction form
    408,963.16/564,358.16 = 227,675.10/x
  3. Step 3: Cross multiply
    408,963.16x = 564,358.16 × 227,675.10
  4. Step 4: Simplify right side
    408,963.16x = 128,490,302,512.07
  5. Step 5: Solve for x
    x = 128,490,302,512.07/408,963.16
  6. Step 6: Final answer
    x = 314,185.52

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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.