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Finding the Fourth Proportional to 464,471.10, 641,029.44 and 273,502.26

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Solution

The fourth proportional to 464,471.10, 641,029.44 and 273,502.26 is: 377,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,471.10 : 641,029.44 = 273,502.26 : x
  2. Step 2: Convert to fraction form
    464,471.10/641,029.44 = 273,502.26/x
  3. Step 3: Cross multiply
    464,471.10x = 641,029.44 × 273,502.26
  4. Step 4: Simplify right side
    464,471.10x = 175,323,000,566.53
  5. Step 5: Solve for x
    x = 175,323,000,566.53/464,471.10
  6. Step 6: Final answer
    x = 377,468.05

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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.