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Finding the Fourth Proportional to 301,476.63, 416,035.98 and 165,512.82

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Solution

The fourth proportional to 301,476.63, 416,035.98 and 165,512.82 is: 228,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,476.63 : 416,035.98 = 165,512.82 : x
  2. Step 2: Convert to fraction form
    301,476.63/416,035.98 = 165,512.82/x
  3. Step 3: Cross multiply
    301,476.63x = 416,035.98 × 165,512.82
  4. Step 4: Simplify right side
    301,476.63x = 68,859,288,271.26
  5. Step 5: Solve for x
    x = 68,859,288,271.26/301,476.63
  6. Step 6: Final answer
    x = 228,406.72

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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.