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Finding the Fourth Proportional to 240,362, 360,115.32 and 204,942.32

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Solution

The fourth proportional to 240,362, 360,115.32 and 204,942.32 is: 307,048.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,362 : 360,115.32 = 204,942.32 : x
  2. Step 2: Convert to fraction form
    240,362/360,115.32 = 204,942.32/x
  3. Step 3: Cross multiply
    240,362x = 360,115.32 × 204,942.32
  4. Step 4: Simplify right side
    240,362x = 73,802,869,148.34
  5. Step 5: Solve for x
    x = 73,802,869,148.34/240,362
  6. Step 6: Final answer
    x = 307,048.82

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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.