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Finding the Fourth Proportional to 319,162.86, 478,692.45 and 150,682.86

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Solution

The fourth proportional to 319,162.86, 478,692.45 and 150,682.86 is: 225,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,162.86 : 478,692.45 = 150,682.86 : x
  2. Step 2: Convert to fraction form
    319,162.86/478,692.45 = 150,682.86/x
  3. Step 3: Cross multiply
    319,162.86x = 478,692.45 × 150,682.86
  4. Step 4: Simplify right side
    319,162.86x = 72,130,747,426.41
  5. Step 5: Solve for x
    x = 72,130,747,426.41/319,162.86
  6. Step 6: Final answer
    x = 225,999.82

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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.