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Finding the Fourth Proportional to 366,057.12, 506,122.74 and 320,604.77

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Solution

The fourth proportional to 366,057.12, 506,122.74 and 320,604.77 is: 443,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,057.12 : 506,122.74 = 320,604.77 : x
  2. Step 2: Convert to fraction form
    366,057.12/506,122.74 = 320,604.77/x
  3. Step 3: Cross multiply
    366,057.12x = 506,122.74 × 320,604.77
  4. Step 4: Simplify right side
    366,057.12x = 162,265,364,649.47
  5. Step 5: Solve for x
    x = 162,265,364,649.47/366,057.12
  6. Step 6: Final answer
    x = 443,278.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.