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Finding the Fourth Proportional to 657,224.35, 985,979.13 and 201,817.14

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Solution

The fourth proportional to 657,224.35, 985,979.13 and 201,817.14 is: 302,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,224.35 : 985,979.13 = 201,817.14 : x
  2. Step 2: Convert to fraction form
    657,224.35/985,979.13 = 201,817.14/x
  3. Step 3: Cross multiply
    657,224.35x = 985,979.13 × 201,817.14
  4. Step 4: Simplify right side
    657,224.35x = 198,987,488,116.29
  5. Step 5: Solve for x
    x = 198,987,488,116.29/657,224.35
  6. Step 6: Final answer
    x = 302,769.50

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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.