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Finding the Fourth Proportional to 458,427.92, 632,696.31 and 274,673.74

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Solution

The fourth proportional to 458,427.92, 632,696.31 and 274,673.74 is: 379,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,427.92 : 632,696.31 = 274,673.74 : x
  2. Step 2: Convert to fraction form
    458,427.92/632,696.31 = 274,673.74/x
  3. Step 3: Cross multiply
    458,427.92x = 632,696.31 × 274,673.74
  4. Step 4: Simplify right side
    458,427.92x = 173,785,061,751.90
  5. Step 5: Solve for x
    x = 173,785,061,751.90/458,427.92
  6. Step 6: Final answer
    x = 379,089.17

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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.