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Finding the Fourth Proportional to 308,477.30, 461,881.17 and 201,594.96

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Solution

The fourth proportional to 308,477.30, 461,881.17 and 201,594.96 is: 301,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,477.30 : 461,881.17 = 201,594.96 : x
  2. Step 2: Convert to fraction form
    308,477.30/461,881.17 = 201,594.96/x
  3. Step 3: Cross multiply
    308,477.30x = 461,881.17 × 201,594.96
  4. Step 4: Simplify right side
    308,477.30x = 93,112,915,990.90
  5. Step 5: Solve for x
    x = 93,112,915,990.90/308,477.30
  6. Step 6: Final answer
    x = 301,846.90

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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.