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Finding the Fourth Proportional to 397,023.62, 595,200.54 and 172,214.72

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Solution

The fourth proportional to 397,023.62, 595,200.54 and 172,214.72 is: 258,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,023.62 : 595,200.54 = 172,214.72 : x
  2. Step 2: Convert to fraction form
    397,023.62/595,200.54 = 172,214.72/x
  3. Step 3: Cross multiply
    397,023.62x = 595,200.54 × 172,214.72
  4. Step 4: Simplify right side
    397,023.62x = 102,502,294,339.95
  5. Step 5: Solve for x
    x = 102,502,294,339.95/397,023.62
  6. Step 6: Final answer
    x = 258,176.82

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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.