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Finding the Fourth Proportional to 308,770.74, 463,686.17 and 189,527.92

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Solution

The fourth proportional to 308,770.74, 463,686.17 and 189,527.92 is: 284,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,770.74 : 463,686.17 = 189,527.92 : x
  2. Step 2: Convert to fraction form
    308,770.74/463,686.17 = 189,527.92/x
  3. Step 3: Cross multiply
    308,770.74x = 463,686.17 × 189,527.92
  4. Step 4: Simplify right side
    308,770.74x = 87,881,473,226.01
  5. Step 5: Solve for x
    x = 87,881,473,226.01/308,770.74
  6. Step 6: Final answer
    x = 284,617.23

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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.