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Finding the Fourth Proportional to 302,069, 416,855.22 and 167,958.92

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Solution

The fourth proportional to 302,069, 416,855.22 and 167,958.92 is: 231,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,069 : 416,855.22 = 167,958.92 : x
  2. Step 2: Convert to fraction form
    302,069/416,855.22 = 167,958.92/x
  3. Step 3: Cross multiply
    302,069x = 416,855.22 × 167,958.92
  4. Step 4: Simplify right side
    302,069x = 70,014,552,547.56
  5. Step 5: Solve for x
    x = 70,014,552,547.56/302,069
  6. Step 6: Final answer
    x = 231,783.31

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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.