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Finding the Fourth Proportional to 313,760.48, 432,972.83 and 177,796.04

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Solution

The fourth proportional to 313,760.48, 432,972.83 and 177,796.04 is: 245,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,760.48 : 432,972.83 = 177,796.04 : x
  2. Step 2: Convert to fraction form
    313,760.48/432,972.83 = 177,796.04/x
  3. Step 3: Cross multiply
    313,760.48x = 432,972.83 × 177,796.04
  4. Step 4: Simplify right side
    313,760.48x = 76,980,851,547.75
  5. Step 5: Solve for x
    x = 76,980,851,547.75/313,760.48
  6. Step 6: Final answer
    x = 245,349.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.