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Finding the Fourth Proportional to 524,164.52, 785,781.34 and 204,242.28

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Solution

The fourth proportional to 524,164.52, 785,781.34 and 204,242.28 is: 306,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,164.52 : 785,781.34 = 204,242.28 : x
  2. Step 2: Convert to fraction form
    524,164.52/785,781.34 = 204,242.28/x
  3. Step 3: Cross multiply
    524,164.52x = 785,781.34 × 204,242.28
  4. Step 4: Simplify right side
    524,164.52x = 160,489,772,463.06
  5. Step 5: Solve for x
    x = 160,489,772,463.06/524,164.52
  6. Step 6: Final answer
    x = 306,182.06

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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.