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Finding the Fourth Proportional to 229,605.32, 343,400.78 and 204,482.12

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Solution

The fourth proportional to 229,605.32, 343,400.78 and 204,482.12 is: 305,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,605.32 : 343,400.78 = 204,482.12 : x
  2. Step 2: Convert to fraction form
    229,605.32/343,400.78 = 204,482.12/x
  3. Step 3: Cross multiply
    229,605.32x = 343,400.78 × 204,482.12
  4. Step 4: Simplify right side
    229,605.32x = 70,219,319,504.05
  5. Step 5: Solve for x
    x = 70,219,319,504.05/229,605.32
  6. Step 6: Final answer
    x = 305,826.19

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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.