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Finding the Fourth Proportional to 638,907.84, 958,249.36 and 234,016.40

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Solution

The fourth proportional to 638,907.84, 958,249.36 and 234,016.40 is: 350,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,907.84 : 958,249.36 = 234,016.40 : x
  2. Step 2: Convert to fraction form
    638,907.84/958,249.36 = 234,016.40/x
  3. Step 3: Cross multiply
    638,907.84x = 958,249.36 × 234,016.40
  4. Step 4: Simplify right side
    638,907.84x = 224,246,065,529.50
  5. Step 5: Solve for x
    x = 224,246,065,529.50/638,907.84
  6. Step 6: Final answer
    x = 350,983.43

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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.