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Finding the Fourth Proportional to 408,802.16, 564,173.42 and 227,513.49

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Solution

The fourth proportional to 408,802.16, 564,173.42 and 227,513.49 is: 313,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802.16 : 564,173.42 = 227,513.49 : x
  2. Step 2: Convert to fraction form
    408,802.16/564,173.42 = 227,513.49/x
  3. Step 3: Cross multiply
    408,802.16x = 564,173.42 × 227,513.49
  4. Step 4: Simplify right side
    408,802.16x = 128,357,062,611.87
  5. Step 5: Solve for x
    x = 128,357,062,611.87/408,802.16
  6. Step 6: Final answer
    x = 313,983.33

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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.