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Finding the Fourth Proportional to 296,518.90, 409,225.42 and 169,213.64

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Solution

The fourth proportional to 296,518.90, 409,225.42 and 169,213.64 is: 233,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,518.90 : 409,225.42 = 169,213.64 : x
  2. Step 2: Convert to fraction form
    296,518.90/409,225.42 = 169,213.64/x
  3. Step 3: Cross multiply
    296,518.90x = 409,225.42 × 169,213.64
  4. Step 4: Simplify right side
    296,518.90x = 69,246,522,898.73
  5. Step 5: Solve for x
    x = 69,246,522,898.73/296,518.90
  6. Step 6: Final answer
    x = 233,531.57

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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.