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Finding the Fourth Proportional to 523,997.13, 786,161.77 and 187,030.32

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Solution

The fourth proportional to 523,997.13, 786,161.77 and 187,030.32 is: 280,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,997.13 : 786,161.77 = 187,030.32 : x
  2. Step 2: Convert to fraction form
    523,997.13/786,161.77 = 187,030.32/x
  3. Step 3: Cross multiply
    523,997.13x = 786,161.77 × 187,030.32
  4. Step 4: Simplify right side
    523,997.13x = 147,036,083,999.18
  5. Step 5: Solve for x
    x = 147,036,083,999.18/523,997.13
  6. Step 6: Final answer
    x = 280,604.75

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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.