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Finding the Fourth Proportional to 296,609.50, 409,321.11 and 169,282.36

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Solution

The fourth proportional to 296,609.50, 409,321.11 and 169,282.36 is: 233,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,609.50 : 409,321.11 = 169,282.36 : x
  2. Step 2: Convert to fraction form
    296,609.50/409,321.11 = 169,282.36/x
  3. Step 3: Cross multiply
    296,609.50x = 409,321.11 × 169,282.36
  4. Step 4: Simplify right side
    296,609.50x = 69,290,843,498.62
  5. Step 5: Solve for x
    x = 69,290,843,498.62/296,609.50
  6. Step 6: Final answer
    x = 233,609.66

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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.