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Finding the Fourth Proportional to 322,084.64, 483,006 and 111,671.84

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Solution

The fourth proportional to 322,084.64, 483,006 and 111,671.84 is: 167,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,084.64 : 483,006 = 111,671.84 : x
  2. Step 2: Convert to fraction form
    322,084.64/483,006 = 111,671.84/x
  3. Step 3: Cross multiply
    322,084.64x = 483,006 × 111,671.84
  4. Step 4: Simplify right side
    322,084.64x = 53,938,168,751.04
  5. Step 5: Solve for x
    x = 53,938,168,751.04/322,084.64
  6. Step 6: Final answer
    x = 167,465.82

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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.