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Finding the Fourth Proportional to 408,813.57, 563,679.95 and 279,814.32

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Solution

The fourth proportional to 408,813.57, 563,679.95 and 279,814.32 is: 385,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,813.57 : 563,679.95 = 279,814.32 : x
  2. Step 2: Convert to fraction form
    408,813.57/563,679.95 = 279,814.32/x
  3. Step 3: Cross multiply
    408,813.57x = 563,679.95 × 279,814.32
  4. Step 4: Simplify right side
    408,813.57x = 157,725,720,507.81
  5. Step 5: Solve for x
    x = 157,725,720,507.81/408,813.57
  6. Step 6: Final answer
    x = 385,813.32

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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.