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Finding the Fourth Proportional to 301,733.48, 416,392.37 and 165,776.20

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Solution

The fourth proportional to 301,733.48, 416,392.37 and 165,776.20 is: 228,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,733.48 : 416,392.37 = 165,776.20 : x
  2. Step 2: Convert to fraction form
    301,733.48/416,392.37 = 165,776.20/x
  3. Step 3: Cross multiply
    301,733.48x = 416,392.37 × 165,776.20
  4. Step 4: Simplify right side
    301,733.48x = 69,027,944,807.59
  5. Step 5: Solve for x
    x = 69,027,944,807.59/301,733.48
  6. Step 6: Final answer
    x = 228,771.25

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