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Finding the Fourth Proportional to 344,984.72, 475,904.72 and 201,651.12

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Solution

The fourth proportional to 344,984.72, 475,904.72 and 201,651.12 is: 278,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,984.72 : 475,904.72 = 201,651.12 : x
  2. Step 2: Convert to fraction form
    344,984.72/475,904.72 = 201,651.12/x
  3. Step 3: Cross multiply
    344,984.72x = 475,904.72 × 201,651.12
  4. Step 4: Simplify right side
    344,984.72x = 95,966,719,801.29
  5. Step 5: Solve for x
    x = 95,966,719,801.29/344,984.72
  6. Step 6: Final answer
    x = 278,176.73

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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.