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Finding the Fourth Proportional to 514,495.63, 771,743.76 and 214,812.91

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Solution

The fourth proportional to 514,495.63, 771,743.76 and 214,812.91 is: 322,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,495.63 : 771,743.76 = 214,812.91 : x
  2. Step 2: Convert to fraction form
    514,495.63/771,743.76 = 214,812.91/x
  3. Step 3: Cross multiply
    514,495.63x = 771,743.76 × 214,812.91
  4. Step 4: Simplify right side
    514,495.63x = 165,780,522,859.94
  5. Step 5: Solve for x
    x = 165,780,522,859.94/514,495.63
  6. Step 6: Final answer
    x = 322,219.50

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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.