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Finding the Fourth Proportional to 320,489.06, 480,593.34 and 152,057.41

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Solution

The fourth proportional to 320,489.06, 480,593.34 and 152,057.41 is: 228,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,489.06 : 480,593.34 = 152,057.41 : x
  2. Step 2: Convert to fraction form
    320,489.06/480,593.34 = 152,057.41/x
  3. Step 3: Cross multiply
    320,489.06x = 480,593.34 × 152,057.41
  4. Step 4: Simplify right side
    320,489.06x = 73,077,778,543.65
  5. Step 5: Solve for x
    x = 73,077,778,543.65/320,489.06
  6. Step 6: Final answer
    x = 228,019.57

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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.