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Finding the Fourth Proportional to 274,478.22, 411,955.47 and 148,228.38

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Solution

The fourth proportional to 274,478.22, 411,955.47 and 148,228.38 is: 222,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,478.22 : 411,955.47 = 148,228.38 : x
  2. Step 2: Convert to fraction form
    274,478.22/411,955.47 = 148,228.38/x
  3. Step 3: Cross multiply
    274,478.22x = 411,955.47 × 148,228.38
  4. Step 4: Simplify right side
    274,478.22x = 61,063,491,950.24
  5. Step 5: Solve for x
    x = 61,063,491,950.24/274,478.22
  6. Step 6: Final answer
    x = 222,471.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.