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Finding the Fourth Proportional to 507,917.50, 700,997.60 and 314,387.32

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Solution

The fourth proportional to 507,917.50, 700,997.60 and 314,387.32 is: 433,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,917.50 : 700,997.60 = 314,387.32 : x
  2. Step 2: Convert to fraction form
    507,917.50/700,997.60 = 314,387.32/x
  3. Step 3: Cross multiply
    507,917.50x = 700,997.60 × 314,387.32
  4. Step 4: Simplify right side
    507,917.50x = 220,384,756,790.43
  5. Step 5: Solve for x
    x = 220,384,756,790.43/507,917.50
  6. Step 6: Final answer
    x = 433,898.73

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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.