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Finding the Fourth Proportional to 651,967.86, 977,762.07 and 252,519.54

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Solution

The fourth proportional to 651,967.86, 977,762.07 and 252,519.54 is: 378,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,967.86 : 977,762.07 = 252,519.54 : x
  2. Step 2: Convert to fraction form
    651,967.86/977,762.07 = 252,519.54/x
  3. Step 3: Cross multiply
    651,967.86x = 977,762.07 × 252,519.54
  4. Step 4: Simplify right side
    651,967.86x = 246,904,028,145.85
  5. Step 5: Solve for x
    x = 246,904,028,145.85/651,967.86
  6. Step 6: Final answer
    x = 378,705.83

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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.