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Finding the Fourth Proportional to 270,496.97, 373,434.81 and 202,489.47

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Solution

The fourth proportional to 270,496.97, 373,434.81 and 202,489.47 is: 279,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,496.97 : 373,434.81 = 202,489.47 : x
  2. Step 2: Convert to fraction form
    270,496.97/373,434.81 = 202,489.47/x
  3. Step 3: Cross multiply
    270,496.97x = 373,434.81 × 202,489.47
  4. Step 4: Simplify right side
    270,496.97x = 75,616,615,997.12
  5. Step 5: Solve for x
    x = 75,616,615,997.12/270,496.97
  6. Step 6: Final answer
    x = 279,547.00

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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.