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Finding the Fourth Proportional to 485,157.96, 727,877.25 and 200,795.94

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Solution

The fourth proportional to 485,157.96, 727,877.25 and 200,795.94 is: 301,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,157.96 : 727,877.25 = 200,795.94 : x
  2. Step 2: Convert to fraction form
    485,157.96/727,877.25 = 200,795.94/x
  3. Step 3: Cross multiply
    485,157.96x = 727,877.25 × 200,795.94
  4. Step 4: Simplify right side
    485,157.96x = 146,154,796,618.37
  5. Step 5: Solve for x
    x = 146,154,796,618.37/485,157.96
  6. Step 6: Final answer
    x = 301,251.98

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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.