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Finding the Fourth Proportional to 274,694.63, 413,913.71 and 225,868.50

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Solution

The fourth proportional to 274,694.63, 413,913.71 and 225,868.50 is: 340,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,694.63 : 413,913.71 = 225,868.50 : x
  2. Step 2: Convert to fraction form
    274,694.63/413,913.71 = 225,868.50/x
  3. Step 3: Cross multiply
    274,694.63x = 413,913.71 × 225,868.50
  4. Step 4: Simplify right side
    274,694.63x = 93,490,069,371.81
  5. Step 5: Solve for x
    x = 93,490,069,371.81/274,694.63
  6. Step 6: Final answer
    x = 340,341.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.