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Finding the Fourth Proportional to 296,646.96, 409,446.06 and 169,396.38

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Solution

The fourth proportional to 296,646.96, 409,446.06 and 169,396.38 is: 233,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,646.96 : 409,446.06 = 169,396.38 : x
  2. Step 2: Convert to fraction form
    296,646.96/409,446.06 = 169,396.38/x
  3. Step 3: Cross multiply
    296,646.96x = 409,446.06 × 169,396.38
  4. Step 4: Simplify right side
    296,646.96x = 69,358,680,369.26
  5. Step 5: Solve for x
    x = 69,358,680,369.26/296,646.96
  6. Step 6: Final answer
    x = 233,808.84

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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.