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Finding the Fourth Proportional to 296,468.71, 409,119.29 and 165,647.42

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Solution

The fourth proportional to 296,468.71, 409,119.29 and 165,647.42 is: 228,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,468.71 : 409,119.29 = 165,647.42 : x
  2. Step 2: Convert to fraction form
    296,468.71/409,119.29 = 165,647.42/x
  3. Step 3: Cross multiply
    296,468.71x = 409,119.29 × 165,647.42
  4. Step 4: Simplify right side
    296,468.71x = 67,769,554,860.73
  5. Step 5: Solve for x
    x = 67,769,554,860.73/296,468.71
  6. Step 6: Final answer
    x = 228,589.23

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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.