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Finding the Fourth Proportional to 802,891.14, 1,204,219.47 and 234,119.40

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Solution

The fourth proportional to 802,891.14, 1,204,219.47 and 234,119.40 is: 351,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,891.14 : 1,204,219.47 = 234,119.40 : x
  2. Step 2: Convert to fraction form
    802,891.14/1,204,219.47 = 234,119.40/x
  3. Step 3: Cross multiply
    802,891.14x = 1,204,219.47 × 234,119.40
  4. Step 4: Simplify right side
    802,891.14x = 281,931,136,146.84
  5. Step 5: Solve for x
    x = 281,931,136,146.84/802,891.14
  6. Step 6: Final answer
    x = 351,144.91

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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.