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Finding the Fourth Proportional to 301,033.17, 415,430.45 and 165,079.53

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Solution

The fourth proportional to 301,033.17, 415,430.45 and 165,079.53 is: 227,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,033.17 : 415,430.45 = 165,079.53 : x
  2. Step 2: Convert to fraction form
    301,033.17/415,430.45 = 165,079.53/x
  3. Step 3: Cross multiply
    301,033.17x = 415,430.45 × 165,079.53
  4. Step 4: Simplify right side
    301,033.17x = 68,579,062,608.29
  5. Step 5: Solve for x
    x = 68,579,062,608.29/301,033.17
  6. Step 6: Final answer
    x = 227,812.31

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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.