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Finding the Fourth Proportional to 308,714.44, 463,066.80 and 98,350.96

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Solution

The fourth proportional to 308,714.44, 463,066.80 and 98,350.96 is: 147,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,714.44 : 463,066.80 = 98,350.96 : x
  2. Step 2: Convert to fraction form
    308,714.44/463,066.80 = 98,350.96/x
  3. Step 3: Cross multiply
    308,714.44x = 463,066.80 × 98,350.96
  4. Step 4: Simplify right side
    308,714.44x = 45,543,064,324.13
  5. Step 5: Solve for x
    x = 45,543,064,324.13/308,714.44
  6. Step 6: Final answer
    x = 147,524.89

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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.