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Finding the Fourth Proportional to 524,498.76, 785,844.18 and 412,893.72

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Solution

The fourth proportional to 524,498.76, 785,844.18 and 412,893.72 is: 618,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,498.76 : 785,844.18 = 412,893.72 : x
  2. Step 2: Convert to fraction form
    524,498.76/785,844.18 = 412,893.72/x
  3. Step 3: Cross multiply
    524,498.76x = 785,844.18 × 412,893.72
  4. Step 4: Simplify right side
    524,498.76x = 324,470,126,820.55
  5. Step 5: Solve for x
    x = 324,470,126,820.55/524,498.76
  6. Step 6: Final answer
    x = 618,628.97

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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.