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Finding the Fourth Proportional to 288,134.44, 397,648.02 and 160,829.12

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Solution

The fourth proportional to 288,134.44, 397,648.02 and 160,829.12 is: 221,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,134.44 : 397,648.02 = 160,829.12 : x
  2. Step 2: Convert to fraction form
    288,134.44/397,648.02 = 160,829.12/x
  3. Step 3: Cross multiply
    288,134.44x = 397,648.02 × 160,829.12
  4. Step 4: Simplify right side
    288,134.44x = 63,953,381,126.34
  5. Step 5: Solve for x
    x = 63,953,381,126.34/288,134.44
  6. Step 6: Final answer
    x = 221,956.74

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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.