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Finding the Fourth Proportional to 308,242.96, 462,380.44 and 97,897.36

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Solution

The fourth proportional to 308,242.96, 462,380.44 and 97,897.36 is: 146,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,242.96 : 462,380.44 = 97,897.36 : x
  2. Step 2: Convert to fraction form
    308,242.96/462,380.44 = 97,897.36/x
  3. Step 3: Cross multiply
    308,242.96x = 462,380.44 × 97,897.36
  4. Step 4: Simplify right side
    308,242.96x = 45,265,824,391.64
  5. Step 5: Solve for x
    x = 45,265,824,391.64/308,242.96
  6. Step 6: Final answer
    x = 146,851.12

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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.