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Finding the Fourth Proportional to 812,259.66, 1,219,507.56 and 413,170.50

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Solution

The fourth proportional to 812,259.66, 1,219,507.56 and 413,170.50 is: 620,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,259.66 : 1,219,507.56 = 413,170.50 : x
  2. Step 2: Convert to fraction form
    812,259.66/1,219,507.56 = 413,170.50/x
  3. Step 3: Cross multiply
    812,259.66x = 1,219,507.56 × 413,170.50
  4. Step 4: Simplify right side
    812,259.66x = 503,864,548,318.98
  5. Step 5: Solve for x
    x = 503,864,548,318.98/812,259.66
  6. Step 6: Final answer
    x = 620,324.48

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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.