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Finding the Fourth Proportional to 296,806.90, 409,735.38 and 169,457.90

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Solution

The fourth proportional to 296,806.90, 409,735.38 and 169,457.90 is: 233,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,806.90 : 409,735.38 = 169,457.90 : x
  2. Step 2: Convert to fraction form
    296,806.90/409,735.38 = 169,457.90/x
  3. Step 3: Cross multiply
    296,806.90x = 409,735.38 × 169,457.90
  4. Step 4: Simplify right side
    296,806.90x = 69,432,897,050.50
  5. Step 5: Solve for x
    x = 69,432,897,050.50/296,806.90
  6. Step 6: Final answer
    x = 233,932.89

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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.