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Finding the Fourth Proportional to 308,654.88, 463,055.76 and 98,292.48

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Solution

The fourth proportional to 308,654.88, 463,055.76 and 98,292.48 is: 147,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,654.88 : 463,055.76 = 98,292.48 : x
  2. Step 2: Convert to fraction form
    308,654.88/463,055.76 = 98,292.48/x
  3. Step 3: Cross multiply
    308,654.88x = 463,055.76 × 98,292.48
  4. Step 4: Simplify right side
    308,654.88x = 45,514,899,028.68
  5. Step 5: Solve for x
    x = 45,514,899,028.68/308,654.88
  6. Step 6: Final answer
    x = 147,462.11

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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.