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Finding the Fourth Proportional to 296,647.46, 409,446.76 and 169,396.88

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Solution

The fourth proportional to 296,647.46, 409,446.76 and 169,396.88 is: 233,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,647.46 : 409,446.76 = 169,396.88 : x
  2. Step 2: Convert to fraction form
    296,647.46/409,446.76 = 169,396.88/x
  3. Step 3: Cross multiply
    296,647.46x = 409,446.76 × 169,396.88
  4. Step 4: Simplify right side
    296,647.46x = 69,359,003,670.11
  5. Step 5: Solve for x
    x = 69,359,003,670.11/296,647.46
  6. Step 6: Final answer
    x = 233,809.53

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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.