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Finding the Fourth Proportional to 334,842.88, 462,204.48 and 221,702.08

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Solution

The fourth proportional to 334,842.88, 462,204.48 and 221,702.08 is: 306,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,842.88 : 462,204.48 = 221,702.08 : x
  2. Step 2: Convert to fraction form
    334,842.88/462,204.48 = 221,702.08/x
  3. Step 3: Cross multiply
    334,842.88x = 462,204.48 × 221,702.08
  4. Step 4: Simplify right side
    334,842.88x = 102,471,694,601.32
  5. Step 5: Solve for x
    x = 102,471,694,601.32/334,842.88
  6. Step 6: Final answer
    x = 306,029.19

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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.