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Finding the Fourth Proportional to 308,955.48, 463,441.32 and 98,593.22

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Solution

The fourth proportional to 308,955.48, 463,441.32 and 98,593.22 is: 147,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,955.48 : 463,441.32 = 98,593.22 : x
  2. Step 2: Convert to fraction form
    308,955.48/463,441.32 = 98,593.22/x
  3. Step 3: Cross multiply
    308,955.48x = 463,441.32 × 98,593.22
  4. Step 4: Simplify right side
    308,955.48x = 45,692,169,702.64
  5. Step 5: Solve for x
    x = 45,692,169,702.64/308,955.48
  6. Step 6: Final answer
    x = 147,892.41

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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.