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Finding the Fourth Proportional to 371,214.52, 512,276.37 and 201,448.64

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Solution

The fourth proportional to 371,214.52, 512,276.37 and 201,448.64 is: 277,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,214.52 : 512,276.37 = 201,448.64 : x
  2. Step 2: Convert to fraction form
    371,214.52/512,276.37 = 201,448.64/x
  3. Step 3: Cross multiply
    371,214.52x = 512,276.37 × 201,448.64
  4. Step 4: Simplify right side
    371,214.52x = 103,197,378,040.64
  5. Step 5: Solve for x
    x = 103,197,378,040.64/371,214.52
  6. Step 6: Final answer
    x = 277,999.30

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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.