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Finding the Fourth Proportional to 362,616.68, 500,419.74 and 201,478.52

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Solution

The fourth proportional to 362,616.68, 500,419.74 and 201,478.52 is: 278,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,616.68 : 500,419.74 = 201,478.52 : x
  2. Step 2: Convert to fraction form
    362,616.68/500,419.74 = 201,478.52/x
  3. Step 3: Cross multiply
    362,616.68x = 500,419.74 × 201,478.52
  4. Step 4: Simplify right side
    362,616.68x = 100,823,828,593.99
  5. Step 5: Solve for x
    x = 100,823,828,593.99/362,616.68
  6. Step 6: Final answer
    x = 278,045.20

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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.