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Finding the Fourth Proportional to 229,348.52, 343,400.70 and 201,009.32

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Solution

The fourth proportional to 229,348.52, 343,400.70 and 201,009.32 is: 300,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,348.52 : 343,400.70 = 201,009.32 : x
  2. Step 2: Convert to fraction form
    229,348.52/343,400.70 = 201,009.32/x
  3. Step 3: Cross multiply
    229,348.52x = 343,400.70 × 201,009.32
  4. Step 4: Simplify right side
    229,348.52x = 69,026,741,194.52
  5. Step 5: Solve for x
    x = 69,026,741,194.52/229,348.52
  6. Step 6: Final answer
    x = 300,968.77

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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.