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Finding the Fourth Proportional to 308,755.74, 463,124.97 and 98,406.30

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Solution

The fourth proportional to 308,755.74, 463,124.97 and 98,406.30 is: 147,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,755.74 : 463,124.97 = 98,406.30 : x
  2. Step 2: Convert to fraction form
    308,755.74/463,124.97 = 98,406.30/x
  3. Step 3: Cross multiply
    308,755.74x = 463,124.97 × 98,406.30
  4. Step 4: Simplify right side
    308,755.74x = 45,574,414,735.31
  5. Step 5: Solve for x
    x = 45,574,414,735.31/308,755.74
  6. Step 6: Final answer
    x = 147,606.70

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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.