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Finding the Fourth Proportional to 1,325,422, 1,988,133 and 328,150

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Solution

The fourth proportional to 1,325,422, 1,988,133 and 328,150 is: 492,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,422 : 1,988,133 = 328,150 : x
  2. Step 2: Convert to fraction form
    1,325,422/1,988,133 = 328,150/x
  3. Step 3: Cross multiply
    1,325,422x = 1,988,133 × 328,150
  4. Step 4: Simplify right side
    1,325,422x = 652,405,843,950
  5. Step 5: Solve for x
    x = 652,405,843,950/1,325,422
  6. Step 6: Final answer
    x = 492,225

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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.