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Finding the Fourth Proportional to 402,541.75, 603,812.11 and 103,022.48

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Solution

The fourth proportional to 402,541.75, 603,812.11 and 103,022.48 is: 154,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,541.75 : 603,812.11 = 103,022.48 : x
  2. Step 2: Convert to fraction form
    402,541.75/603,812.11 = 103,022.48/x
  3. Step 3: Cross multiply
    402,541.75x = 603,812.11 × 103,022.48
  4. Step 4: Simplify right side
    402,541.75x = 62,206,218,007.17
  5. Step 5: Solve for x
    x = 62,206,218,007.17/402,541.75
  6. Step 6: Final answer
    x = 154,533.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.