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Finding the Fourth Proportional to 416,880.75, 575,297.43 and 225,894.48

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Solution

The fourth proportional to 416,880.75, 575,297.43 and 225,894.48 is: 311,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,880.75 : 575,297.43 = 225,894.48 : x
  2. Step 2: Convert to fraction form
    416,880.75/575,297.43 = 225,894.48/x
  3. Step 3: Cross multiply
    416,880.75x = 575,297.43 × 225,894.48
  4. Step 4: Simplify right side
    416,880.75x = 129,956,513,795.19
  5. Step 5: Solve for x
    x = 129,956,513,795.19/416,880.75
  6. Step 6: Final answer
    x = 311,735.46

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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.