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Finding the Fourth Proportional to 299,814.84, 414,084.61 and 204,155.46

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Solution

The fourth proportional to 299,814.84, 414,084.61 and 204,155.46 is: 281,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,814.84 : 414,084.61 = 204,155.46 : x
  2. Step 2: Convert to fraction form
    299,814.84/414,084.61 = 204,155.46/x
  3. Step 3: Cross multiply
    299,814.84x = 414,084.61 × 204,155.46
  4. Step 4: Simplify right side
    299,814.84x = 84,537,634,033.47
  5. Step 5: Solve for x
    x = 84,537,634,033.47/299,814.84
  6. Step 6: Final answer
    x = 281,966.14

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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.