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Finding the Fourth Proportional to 229,352.80, 343,057.20 and 205,830.40

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Solution

The fourth proportional to 229,352.80, 343,057.20 and 205,830.40 is: 307,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,352.80 : 343,057.20 = 205,830.40 : x
  2. Step 2: Convert to fraction form
    229,352.80/343,057.20 = 205,830.40/x
  3. Step 3: Cross multiply
    229,352.80x = 343,057.20 × 205,830.40
  4. Step 4: Simplify right side
    229,352.80x = 70,611,600,698.88
  5. Step 5: Solve for x
    x = 70,611,600,698.88/229,352.80
  6. Step 6: Final answer
    x = 307,873.29

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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.