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Finding the Fourth Proportional to 308,653.70, 463,013.76 and 98,242.43

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Solution

The fourth proportional to 308,653.70, 463,013.76 and 98,242.43 is: 147,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,653.70 : 463,013.76 = 98,242.43 : x
  2. Step 2: Convert to fraction form
    308,653.70/463,013.76 = 98,242.43/x
  3. Step 3: Cross multiply
    308,653.70x = 463,013.76 × 98,242.43
  4. Step 4: Simplify right side
    308,653.70x = 45,487,596,905.84
  5. Step 5: Solve for x
    x = 45,487,596,905.84/308,653.70
  6. Step 6: Final answer
    x = 147,374.22

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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.