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Finding the Fourth Proportional to 378,170.80, 567,255.60 and 175,656.16

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Solution

The fourth proportional to 378,170.80, 567,255.60 and 175,656.16 is: 263,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,170.80 : 567,255.60 = 175,656.16 : x
  2. Step 2: Convert to fraction form
    378,170.80/567,255.60 = 175,656.16/x
  3. Step 3: Cross multiply
    378,170.80x = 567,255.60 × 175,656.16
  4. Step 4: Simplify right side
    378,170.80x = 99,641,940,434.50
  5. Step 5: Solve for x
    x = 99,641,940,434.50/378,170.80
  6. Step 6: Final answer
    x = 263,483.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.