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Finding the Fourth Proportional to 681,564.61, 940,596.16 and 391,173.86

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Solution

The fourth proportional to 681,564.61, 940,596.16 and 391,173.86 is: 539,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,564.61 : 940,596.16 = 391,173.86 : x
  2. Step 2: Convert to fraction form
    681,564.61/940,596.16 = 391,173.86/x
  3. Step 3: Cross multiply
    681,564.61x = 940,596.16 × 391,173.86
  4. Step 4: Simplify right side
    681,564.61x = 367,936,630,608.38
  5. Step 5: Solve for x
    x = 367,936,630,608.38/681,564.61
  6. Step 6: Final answer
    x = 539,841.16

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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.