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Finding the Fourth Proportional to 357,151.38, 492,867.34 and 196,009.04

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Solution

The fourth proportional to 357,151.38, 492,867.34 and 196,009.04 is: 270,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,151.38 : 492,867.34 = 196,009.04 : x
  2. Step 2: Convert to fraction form
    357,151.38/492,867.34 = 196,009.04/x
  3. Step 3: Cross multiply
    357,151.38x = 492,867.34 × 196,009.04
  4. Step 4: Simplify right side
    357,151.38x = 96,606,454,160.75
  5. Step 5: Solve for x
    x = 96,606,454,160.75/357,151.38
  6. Step 6: Final answer
    x = 270,491.62

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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.