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Finding the Fourth Proportional to 416,166.48, 574,305.66 and 225,175.68

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Solution

The fourth proportional to 416,166.48, 574,305.66 and 225,175.68 is: 310,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,166.48 : 574,305.66 = 225,175.68 : x
  2. Step 2: Convert to fraction form
    416,166.48/574,305.66 = 225,175.68/x
  3. Step 3: Cross multiply
    416,166.48x = 574,305.66 × 225,175.68
  4. Step 4: Simplify right side
    416,166.48x = 129,319,667,518.35
  5. Step 5: Solve for x
    x = 129,319,667,518.35/416,166.48
  6. Step 6: Final answer
    x = 310,740.23

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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.