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Finding the Fourth Proportional to 302,046.75, 416,815.70 and 166,080.55

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Solution

The fourth proportional to 302,046.75, 416,815.70 and 166,080.55 is: 229,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,046.75 : 416,815.70 = 166,080.55 : x
  2. Step 2: Convert to fraction form
    302,046.75/416,815.70 = 166,080.55/x
  3. Step 3: Cross multiply
    302,046.75x = 416,815.70 × 166,080.55
  4. Step 4: Simplify right side
    302,046.75x = 69,224,980,704.64
  5. Step 5: Solve for x
    x = 69,224,980,704.64/302,046.75
  6. Step 6: Final answer
    x = 229,186.31

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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.