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Finding the Fourth Proportional to 361,861.20, 542,014.20 and 315,205.20

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Solution

The fourth proportional to 361,861.20, 542,014.20 and 315,205.20 is: 472,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,861.20 : 542,014.20 = 315,205.20 : x
  2. Step 2: Convert to fraction form
    361,861.20/542,014.20 = 315,205.20/x
  3. Step 3: Cross multiply
    361,861.20x = 542,014.20 × 315,205.20
  4. Step 4: Simplify right side
    361,861.20x = 170,845,694,313.84
  5. Step 5: Solve for x
    x = 170,845,694,313.84/361,861.20
  6. Step 6: Final answer
    x = 472,130.46

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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.