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Finding the Fourth Proportional to 408,824.76, 564,194.36 and 227,544.32

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Solution

The fourth proportional to 408,824.76, 564,194.36 and 227,544.32 is: 314,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,824.76 : 564,194.36 = 227,544.32 : x
  2. Step 2: Convert to fraction form
    408,824.76/564,194.36 = 227,544.32/x
  3. Step 3: Cross multiply
    408,824.76x = 564,194.36 × 227,544.32
  4. Step 4: Simplify right side
    408,824.76x = 128,379,221,994.04
  5. Step 5: Solve for x
    x = 128,379,221,994.04/408,824.76
  6. Step 6: Final answer
    x = 314,020.17

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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.