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Finding the Fourth Proportional to 295,323.20, 407,404.32 and 214,625.60

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Solution

The fourth proportional to 295,323.20, 407,404.32 and 214,625.60 is: 296,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,323.20 : 407,404.32 = 214,625.60 : x
  2. Step 2: Convert to fraction form
    295,323.20/407,404.32 = 214,625.60/x
  3. Step 3: Cross multiply
    295,323.20x = 407,404.32 × 214,625.60
  4. Step 4: Simplify right side
    295,323.20x = 87,439,396,622.59
  5. Step 5: Solve for x
    x = 87,439,396,622.59/295,323.20
  6. Step 6: Final answer
    x = 296,080.35

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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.