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Finding the Fourth Proportional to 530,892, 732,791.07 and 361,224.54

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Solution

The fourth proportional to 530,892, 732,791.07 and 361,224.54 is: 498,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,892 : 732,791.07 = 361,224.54 : x
  2. Step 2: Convert to fraction form
    530,892/732,791.07 = 361,224.54/x
  3. Step 3: Cross multiply
    530,892x = 732,791.07 × 361,224.54
  4. Step 4: Simplify right side
    530,892x = 264,702,117,176.86
  5. Step 5: Solve for x
    x = 264,702,117,176.86/530,892
  6. Step 6: Final answer
    x = 498,598.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.