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Finding the Fourth Proportional to 301,410.75, 415,946.85 and 167,274.75

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Solution

The fourth proportional to 301,410.75, 415,946.85 and 167,274.75 is: 230,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,410.75 : 415,946.85 = 167,274.75 : x
  2. Step 2: Convert to fraction form
    301,410.75/415,946.85 = 167,274.75/x
  3. Step 3: Cross multiply
    301,410.75x = 415,946.85 × 167,274.75
  4. Step 4: Simplify right side
    301,410.75x = 69,577,405,347.04
  5. Step 5: Solve for x
    x = 69,577,405,347.04/301,410.75
  6. Step 6: Final answer
    x = 230,839.16

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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.