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Finding the Fourth Proportional to 334,634.40, 502,340.40 and 201,664.80

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Solution

The fourth proportional to 334,634.40, 502,340.40 and 201,664.80 is: 302,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,634.40 : 502,340.40 = 201,664.80 : x
  2. Step 2: Convert to fraction form
    334,634.40/502,340.40 = 201,664.80/x
  3. Step 3: Cross multiply
    334,634.40x = 502,340.40 × 201,664.80
  4. Step 4: Simplify right side
    334,634.40x = 101,304,376,297.92
  5. Step 5: Solve for x
    x = 101,304,376,297.92/334,634.40
  6. Step 6: Final answer
    x = 302,731.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.