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Finding the Fourth Proportional to 536,098.53, 802,137.87 and 319,163.77

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Solution

The fourth proportional to 536,098.53, 802,137.87 and 319,163.77 is: 477,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,098.53 : 802,137.87 = 319,163.77 : x
  2. Step 2: Convert to fraction form
    536,098.53/802,137.87 = 319,163.77/x
  3. Step 3: Cross multiply
    536,098.53x = 802,137.87 × 319,163.77
  4. Step 4: Simplify right side
    536,098.53x = 256,013,346,648.97
  5. Step 5: Solve for x
    x = 256,013,346,648.97/536,098.53
  6. Step 6: Final answer
    x = 477,549.06

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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.