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Finding the Fourth Proportional to 671,382, 1,007,073.27 and 222,102.84

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Solution

The fourth proportional to 671,382, 1,007,073.27 and 222,102.84 is: 333,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,382 : 1,007,073.27 = 222,102.84 : x
  2. Step 2: Convert to fraction form
    671,382/1,007,073.27 = 222,102.84/x
  3. Step 3: Cross multiply
    671,382x = 1,007,073.27 × 222,102.84
  4. Step 4: Simplify right side
    671,382x = 223,673,833,355.09
  5. Step 5: Solve for x
    x = 223,673,833,355.09/671,382
  6. Step 6: Final answer
    x = 333,154.35

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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.