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Finding the Fourth Proportional to 308,093.70, 461,362.95 and 202,340.10

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Solution

The fourth proportional to 308,093.70, 461,362.95 and 202,340.10 is: 302,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,093.70 : 461,362.95 = 202,340.10 : x
  2. Step 2: Convert to fraction form
    308,093.70/461,362.95 = 202,340.10/x
  3. Step 3: Cross multiply
    308,093.70x = 461,362.95 × 202,340.10
  4. Step 4: Simplify right side
    308,093.70x = 93,352,225,439.30
  5. Step 5: Solve for x
    x = 93,352,225,439.30/308,093.70
  6. Step 6: Final answer
    x = 302,999.46

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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.