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Finding the Fourth Proportional to 475,899.12, 656,728.94 and 271,937.06

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Solution

The fourth proportional to 475,899.12, 656,728.94 and 271,937.06 is: 375,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,899.12 : 656,728.94 = 271,937.06 : x
  2. Step 2: Convert to fraction form
    475,899.12/656,728.94 = 271,937.06/x
  3. Step 3: Cross multiply
    475,899.12x = 656,728.94 × 271,937.06
  4. Step 4: Simplify right side
    475,899.12x = 178,588,937,160.52
  5. Step 5: Solve for x
    x = 178,588,937,160.52/475,899.12
  6. Step 6: Final answer
    x = 375,266.37

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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.