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Finding the Fourth Proportional to 397,291.52, 595,749.96 and 144,394.12

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Solution

The fourth proportional to 397,291.52, 595,749.96 and 144,394.12 is: 216,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,291.52 : 595,749.96 = 144,394.12 : x
  2. Step 2: Convert to fraction form
    397,291.52/595,749.96 = 144,394.12/x
  3. Step 3: Cross multiply
    397,291.52x = 595,749.96 × 144,394.12
  4. Step 4: Simplify right side
    397,291.52x = 86,022,791,214.24
  5. Step 5: Solve for x
    x = 86,022,791,214.24/397,291.52
  6. Step 6: Final answer
    x = 216,523.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.