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Finding the Fourth Proportional to 523,998.20, 785,997.30 and 191,703.80

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Solution

The fourth proportional to 523,998.20, 785,997.30 and 191,703.80 is: 287,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,998.20 : 785,997.30 = 191,703.80 : x
  2. Step 2: Convert to fraction form
    523,998.20/785,997.30 = 191,703.80/x
  3. Step 3: Cross multiply
    523,998.20x = 785,997.30 × 191,703.80
  4. Step 4: Simplify right side
    523,998.20x = 150,678,669,199.74
  5. Step 5: Solve for x
    x = 150,678,669,199.74/523,998.20
  6. Step 6: Final answer
    x = 287,555.70

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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.