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Finding the Fourth Proportional to 357,273.48, 492,936.42 and 230,022.76

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Solution

The fourth proportional to 357,273.48, 492,936.42 and 230,022.76 is: 317,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,273.48 : 492,936.42 = 230,022.76 : x
  2. Step 2: Convert to fraction form
    357,273.48/492,936.42 = 230,022.76/x
  3. Step 3: Cross multiply
    357,273.48x = 492,936.42 × 230,022.76
  4. Step 4: Simplify right side
    357,273.48x = 113,386,595,832.92
  5. Step 5: Solve for x
    x = 113,386,595,832.92/357,273.48
  6. Step 6: Final answer
    x = 317,366.39

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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.