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Finding the Fourth Proportional to 288,001.54, 397,443.27 and 160,682.50

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Solution

The fourth proportional to 288,001.54, 397,443.27 and 160,682.50 is: 221,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,001.54 : 397,443.27 = 160,682.50 : x
  2. Step 2: Convert to fraction form
    288,001.54/397,443.27 = 160,682.50/x
  3. Step 3: Cross multiply
    288,001.54x = 397,443.27 × 160,682.50
  4. Step 4: Simplify right side
    288,001.54x = 63,862,178,231.78
  5. Step 5: Solve for x
    x = 63,862,178,231.78/288,001.54
  6. Step 6: Final answer
    x = 221,742.49

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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.