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Finding the Fourth Proportional to 316,644.51, 474,967.71 and 76,757.46

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Solution

The fourth proportional to 316,644.51, 474,967.71 and 76,757.46 is: 115,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,644.51 : 474,967.71 = 76,757.46 : x
  2. Step 2: Convert to fraction form
    316,644.51/474,967.71 = 76,757.46/x
  3. Step 3: Cross multiply
    316,644.51x = 474,967.71 × 76,757.46
  4. Step 4: Simplify right side
    316,644.51x = 36,457,315,001.62
  5. Step 5: Solve for x
    x = 36,457,315,001.62/316,644.51
  6. Step 6: Final answer
    x = 115,136.42

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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.