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Finding the Fourth Proportional to 270,068.80, 405,103.20 and 220,205.20

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Solution

The fourth proportional to 270,068.80, 405,103.20 and 220,205.20 is: 330,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,068.80 : 405,103.20 = 220,205.20 : x
  2. Step 2: Convert to fraction form
    270,068.80/405,103.20 = 220,205.20/x
  3. Step 3: Cross multiply
    270,068.80x = 405,103.20 × 220,205.20
  4. Step 4: Simplify right side
    270,068.80x = 89,205,831,176.64
  5. Step 5: Solve for x
    x = 89,205,831,176.64/270,068.80
  6. Step 6: Final answer
    x = 330,307.80

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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.