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Finding the Fourth Proportional to 408,406.40, 563,594.52 and 227,111.36

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Solution

The fourth proportional to 408,406.40, 563,594.52 and 227,111.36 is: 313,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,406.40 : 563,594.52 = 227,111.36 : x
  2. Step 2: Convert to fraction form
    408,406.40/563,594.52 = 227,111.36/x
  3. Step 3: Cross multiply
    408,406.40x = 563,594.52 × 227,111.36
  4. Step 4: Simplify right side
    408,406.40x = 127,998,717,925.75
  5. Step 5: Solve for x
    x = 127,998,717,925.75/408,406.40
  6. Step 6: Final answer
    x = 313,410.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.