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Finding the Fourth Proportional to 362,983.68, 500,904 and 201,839.04

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Solution

The fourth proportional to 362,983.68, 500,904 and 201,839.04 is: 278,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,983.68 : 500,904 = 201,839.04 : x
  2. Step 2: Convert to fraction form
    362,983.68/500,904 = 201,839.04/x
  3. Step 3: Cross multiply
    362,983.68x = 500,904 × 201,839.04
  4. Step 4: Simplify right side
    362,983.68x = 101,101,982,492.16
  5. Step 5: Solve for x
    x = 101,101,982,492.16/362,983.68
  6. Step 6: Final answer
    x = 278,530.38

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1.5x scale

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.