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Finding the Fourth Proportional to 301,824.82, 416,526.06 and 165,862.54

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Solution

The fourth proportional to 301,824.82, 416,526.06 and 165,862.54 is: 228,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,824.82 : 416,526.06 = 165,862.54 : x
  2. Step 2: Convert to fraction form
    301,824.82/416,526.06 = 165,862.54/x
  3. Step 3: Cross multiply
    301,824.82x = 416,526.06 × 165,862.54
  4. Step 4: Simplify right side
    301,824.82x = 69,086,070,287.79
  5. Step 5: Solve for x
    x = 69,086,070,287.79/301,824.82
  6. Step 6: Final answer
    x = 228,894.60

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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.