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Finding the Fourth Proportional to 352,428.56, 486,213 and 201,444.56

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Solution

The fourth proportional to 352,428.56, 486,213 and 201,444.56 is: 277,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,428.56 : 486,213 = 201,444.56 : x
  2. Step 2: Convert to fraction form
    352,428.56/486,213 = 201,444.56/x
  3. Step 3: Cross multiply
    352,428.56x = 486,213 × 201,444.56
  4. Step 4: Simplify right side
    352,428.56x = 97,944,963,851.28
  5. Step 5: Solve for x
    x = 97,944,963,851.28/352,428.56
  6. Step 6: Final answer
    x = 277,914.38

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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.