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Finding the Fourth Proportional to 416,244.96, 574,444 and 234,987.60

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Solution

The fourth proportional to 416,244.96, 574,444 and 234,987.60 is: 324,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,244.96 : 574,444 = 234,987.60 : x
  2. Step 2: Convert to fraction form
    416,244.96/574,444 = 234,987.60/x
  3. Step 3: Cross multiply
    416,244.96x = 574,444 × 234,987.60
  4. Step 4: Simplify right side
    416,244.96x = 134,987,216,894.40
  5. Step 5: Solve for x
    x = 134,987,216,894.40/416,244.96
  6. Step 6: Final answer
    x = 324,297.54

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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.