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Finding the Fourth Proportional to 514,355.82, 771,159.90 and 214,922.10

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Solution

The fourth proportional to 514,355.82, 771,159.90 and 214,922.10 is: 322,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,355.82 : 771,159.90 = 214,922.10 : x
  2. Step 2: Convert to fraction form
    514,355.82/771,159.90 = 214,922.10/x
  3. Step 3: Cross multiply
    514,355.82x = 771,159.90 × 214,922.10
  4. Step 4: Simplify right side
    514,355.82x = 165,739,305,143.79
  5. Step 5: Solve for x
    x = 165,739,305,143.79/514,355.82
  6. Step 6: Final answer
    x = 322,226.95

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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.