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Finding the Fourth Proportional to 514,323.94, 771,112.24 and 214,890.16

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Solution

The fourth proportional to 514,323.94, 771,112.24 and 214,890.16 is: 322,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,323.94 : 771,112.24 = 214,890.16 : x
  2. Step 2: Convert to fraction form
    514,323.94/771,112.24 = 214,890.16/x
  3. Step 3: Cross multiply
    514,323.94x = 771,112.24 × 214,890.16
  4. Step 4: Simplify right side
    514,323.94x = 165,704,432,631.56
  5. Step 5: Solve for x
    x = 165,704,432,631.56/514,323.94
  6. Step 6: Final answer
    x = 322,179.12

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Why These Related Problems?

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