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Finding the Fourth Proportional to 348,891.64, 481,533.30 and 205,643.32

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Solution

The fourth proportional to 348,891.64, 481,533.30 and 205,643.32 is: 283,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,891.64 : 481,533.30 = 205,643.32 : x
  2. Step 2: Convert to fraction form
    348,891.64/481,533.30 = 205,643.32/x
  3. Step 3: Cross multiply
    348,891.64x = 481,533.30 × 205,643.32
  4. Step 4: Simplify right side
    348,891.64x = 99,024,106,502.56
  5. Step 5: Solve for x
    x = 99,024,106,502.56/348,891.64
  6. Step 6: Final answer
    x = 283,824.82

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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.