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Finding the Fourth Proportional to 514,299.30, 771,572.14 and 214,613.18

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Solution

The fourth proportional to 514,299.30, 771,572.14 and 214,613.18 is: 321,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,299.30 : 771,572.14 = 214,613.18 : x
  2. Step 2: Convert to fraction form
    514,299.30/771,572.14 = 214,613.18/x
  3. Step 3: Cross multiply
    514,299.30x = 771,572.14 × 214,613.18
  4. Step 4: Simplify right side
    514,299.30x = 165,589,550,564.81
  5. Step 5: Solve for x
    x = 165,589,550,564.81/514,299.30
  6. Step 6: Final answer
    x = 321,971.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.