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Finding the Fourth Proportional to 356,948.82, 492,595.92 and 195,812.10

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Solution

The fourth proportional to 356,948.82, 492,595.92 and 195,812.10 is: 270,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,948.82 : 492,595.92 = 195,812.10 : x
  2. Step 2: Convert to fraction form
    356,948.82/492,595.92 = 195,812.10/x
  3. Step 3: Cross multiply
    356,948.82x = 492,595.92 × 195,812.10
  4. Step 4: Simplify right side
    356,948.82x = 96,456,241,546.63
  5. Step 5: Solve for x
    x = 96,456,241,546.63/356,948.82
  6. Step 6: Final answer
    x = 270,224.29

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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.