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Finding the Fourth Proportional to 357,228.53, 492,948.29 and 196,057.97

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Solution

The fourth proportional to 357,228.53, 492,948.29 and 196,057.97 is: 270,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,228.53 : 492,948.29 = 196,057.97 : x
  2. Step 2: Convert to fraction form
    357,228.53/492,948.29 = 196,057.97/x
  3. Step 3: Cross multiply
    357,228.53x = 492,948.29 × 196,057.97
  4. Step 4: Simplify right side
    357,228.53x = 96,646,440,072.08
  5. Step 5: Solve for x
    x = 96,646,440,072.08/357,228.53
  6. Step 6: Final answer
    x = 270,545.13

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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.