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Finding the Fourth Proportional to 288,004.21, 397,455.35 and 157,189

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Solution

The fourth proportional to 288,004.21, 397,455.35 and 157,189 is: 216,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.21 : 397,455.35 = 157,189 : x
  2. Step 2: Convert to fraction form
    288,004.21/397,455.35 = 157,189/x
  3. Step 3: Cross multiply
    288,004.21x = 397,455.35 × 157,189
  4. Step 4: Simplify right side
    288,004.21x = 62,475,609,011.15
  5. Step 5: Solve for x
    x = 62,475,609,011.15/288,004.21
  6. Step 6: Final answer
    x = 216,926.03

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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.