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Finding the Fourth Proportional to 368,969.46, 509,216.13 and 225,824.82

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Solution

The fourth proportional to 368,969.46, 509,216.13 and 225,824.82 is: 311,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,969.46 : 509,216.13 = 225,824.82 : x
  2. Step 2: Convert to fraction form
    368,969.46/509,216.13 = 225,824.82/x
  3. Step 3: Cross multiply
    368,969.46x = 509,216.13 × 225,824.82
  4. Step 4: Simplify right side
    368,969.46x = 114,993,640,898.35
  5. Step 5: Solve for x
    x = 114,993,640,898.35/368,969.46
  6. Step 6: Final answer
    x = 311,661.68

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1.5x scale

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.