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Finding the Fourth Proportional to 301,457.92, 416,017.14 and 165,504.52

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Solution

The fourth proportional to 301,457.92, 416,017.14 and 165,504.52 is: 228,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,457.92 : 416,017.14 = 165,504.52 : x
  2. Step 2: Convert to fraction form
    301,457.92/416,017.14 = 165,504.52/x
  3. Step 3: Cross multiply
    301,457.92x = 416,017.14 × 165,504.52
  4. Step 4: Simplify right side
    301,457.92x = 68,852,717,067.47
  5. Step 5: Solve for x
    x = 68,852,717,067.47/301,457.92
  6. Step 6: Final answer
    x = 228,399.10

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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.