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Finding the Fourth Proportional to 514,324.96, 771,113.72 and 214,891.16

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Solution

The fourth proportional to 514,324.96, 771,113.72 and 214,891.16 is: 322,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,324.96 : 771,113.72 = 214,891.16 : x
  2. Step 2: Convert to fraction form
    514,324.96/771,113.72 = 214,891.16/x
  3. Step 3: Cross multiply
    514,324.96x = 771,113.72 × 214,891.16
  4. Step 4: Simplify right side
    514,324.96x = 165,705,521,782.72
  5. Step 5: Solve for x
    x = 165,705,521,782.72/514,324.96
  6. Step 6: Final answer
    x = 322,180.60

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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.