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Finding the Fourth Proportional to 416,297.94, 574,491.15 and 225,311.34

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Solution

The fourth proportional to 416,297.94, 574,491.15 and 225,311.34 is: 310,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,297.94 : 574,491.15 = 225,311.34 : x
  2. Step 2: Convert to fraction form
    416,297.94/574,491.15 = 225,311.34/x
  3. Step 3: Cross multiply
    416,297.94x = 574,491.15 × 225,311.34
  4. Step 4: Simplify right side
    416,297.94x = 129,439,370,824.64
  5. Step 5: Solve for x
    x = 129,439,370,824.64/416,297.94
  6. Step 6: Final answer
    x = 310,929.65

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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.