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Finding the Fourth Proportional to 301,471.36, 416,029.44 and 165,501.92

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Solution

The fourth proportional to 301,471.36, 416,029.44 and 165,501.92 is: 228,392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,471.36 : 416,029.44 = 165,501.92 : x
  2. Step 2: Convert to fraction form
    301,471.36/416,029.44 = 165,501.92/x
  3. Step 3: Cross multiply
    301,471.36x = 416,029.44 × 165,501.92
  4. Step 4: Simplify right side
    301,471.36x = 68,853,671,096.52
  5. Step 5: Solve for x
    x = 68,853,671,096.52/301,471.36
  6. Step 6: Final answer
    x = 228,392.08

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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.