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Finding the Fourth Proportional to 287,385.36, 396,566.40 and 166,488

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Solution

The fourth proportional to 287,385.36, 396,566.40 and 166,488 is: 229,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,385.36 : 396,566.40 = 166,488 : x
  2. Step 2: Convert to fraction form
    287,385.36/396,566.40 = 166,488/x
  3. Step 3: Cross multiply
    287,385.36x = 396,566.40 × 166,488
  4. Step 4: Simplify right side
    287,385.36x = 66,023,546,803.20
  5. Step 5: Solve for x
    x = 66,023,546,803.20/287,385.36
  6. Step 6: Final answer
    x = 229,738.73

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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.