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Finding the Fourth Proportional to 296,624.34, 409,370.94 and 169,319.07

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Solution

The fourth proportional to 296,624.34, 409,370.94 and 169,319.07 is: 233,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,624.34 : 409,370.94 = 169,319.07 : x
  2. Step 2: Convert to fraction form
    296,624.34/409,370.94 = 169,319.07/x
  3. Step 3: Cross multiply
    296,624.34x = 409,370.94 × 169,319.07
  4. Step 4: Simplify right side
    296,624.34x = 69,314,306,845.83
  5. Step 5: Solve for x
    x = 69,314,306,845.83/296,624.34
  6. Step 6: Final answer
    x = 233,677.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.