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Finding the Fourth Proportional to 536,497.29, 804,221.06 and 256,211.37

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Solution

The fourth proportional to 536,497.29, 804,221.06 and 256,211.37 is: 384,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,497.29 : 804,221.06 = 256,211.37 : x
  2. Step 2: Convert to fraction form
    536,497.29/804,221.06 = 256,211.37/x
  3. Step 3: Cross multiply
    536,497.29x = 804,221.06 × 256,211.37
  4. Step 4: Simplify right side
    536,497.29x = 206,050,578,284.40
  5. Step 5: Solve for x
    x = 206,050,578,284.40/536,497.29
  6. Step 6: Final answer
    x = 384,066.39

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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.