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Finding the Fourth Proportional to 361,880.20, 542,820.30 and 308,225.80

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Solution

The fourth proportional to 361,880.20, 542,820.30 and 308,225.80 is: 462,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,880.20 : 542,820.30 = 308,225.80 : x
  2. Step 2: Convert to fraction form
    361,880.20/542,820.30 = 308,225.80/x
  3. Step 3: Cross multiply
    361,880.20x = 542,820.30 × 308,225.80
  4. Step 4: Simplify right side
    361,880.20x = 167,311,221,223.74
  5. Step 5: Solve for x
    x = 167,311,221,223.74/361,880.20
  6. Step 6: Final answer
    x = 462,338.70

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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.