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Finding the Fourth Proportional to 462,846.48, 638,471.10 and 269,232.38

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Solution

The fourth proportional to 462,846.48, 638,471.10 and 269,232.38 is: 371,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,846.48 : 638,471.10 = 269,232.38 : x
  2. Step 2: Convert to fraction form
    462,846.48/638,471.10 = 269,232.38/x
  3. Step 3: Cross multiply
    462,846.48x = 638,471.10 × 269,232.38
  4. Step 4: Simplify right side
    462,846.48x = 171,897,093,814.22
  5. Step 5: Solve for x
    x = 171,897,093,814.22/462,846.48
  6. Step 6: Final answer
    x = 371,391.17

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1.5x scale

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.