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Finding the Fourth Proportional to 345,164.48, 476,233.92 and 201,959.84

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Solution

The fourth proportional to 345,164.48, 476,233.92 and 201,959.84 is: 278,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,164.48 : 476,233.92 = 201,959.84 : x
  2. Step 2: Convert to fraction form
    345,164.48/476,233.92 = 201,959.84/x
  3. Step 3: Cross multiply
    345,164.48x = 476,233.92 × 201,959.84
  4. Step 4: Simplify right side
    345,164.48x = 96,180,126,285.77
  5. Step 5: Solve for x
    x = 96,180,126,285.77/345,164.48
  6. Step 6: Final answer
    x = 278,650.13

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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.