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Finding the Fourth Proportional to 308,522.28, 462,787.26 and 98,159.40

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Solution

The fourth proportional to 308,522.28, 462,787.26 and 98,159.40 is: 147,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,522.28 : 462,787.26 = 98,159.40 : x
  2. Step 2: Convert to fraction form
    308,522.28/462,787.26 = 98,159.40/x
  3. Step 3: Cross multiply
    308,522.28x = 462,787.26 × 98,159.40
  4. Step 4: Simplify right side
    308,522.28x = 45,426,919,769.24
  5. Step 5: Solve for x
    x = 45,426,919,769.24/308,522.28
  6. Step 6: Final answer
    x = 147,240.32

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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.