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Finding the Fourth Proportional to 416,794.44, 575,175.54 and 225,813

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Solution

The fourth proportional to 416,794.44, 575,175.54 and 225,813 is: 311,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,794.44 : 575,175.54 = 225,813 : x
  2. Step 2: Convert to fraction form
    416,794.44/575,175.54 = 225,813/x
  3. Step 3: Cross multiply
    416,794.44x = 575,175.54 × 225,813
  4. Step 4: Simplify right side
    416,794.44x = 129,882,114,214.02
  5. Step 5: Solve for x
    x = 129,882,114,214.02/416,794.44
  6. Step 6: Final answer
    x = 311,621.51

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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.