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Finding the Fourth Proportional to 308,922.48, 463,066.32 and 175,517.76

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Solution

The fourth proportional to 308,922.48, 463,066.32 and 175,517.76 is: 263,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,922.48 : 463,066.32 = 175,517.76 : x
  2. Step 2: Convert to fraction form
    308,922.48/463,066.32 = 175,517.76/x
  3. Step 3: Cross multiply
    308,922.48x = 463,066.32 × 175,517.76
  4. Step 4: Simplify right side
    308,922.48x = 81,276,363,217.84
  5. Step 5: Solve for x
    x = 81,276,363,217.84/308,922.48
  6. Step 6: Final answer
    x = 263,096.31

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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.