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Finding the Fourth Proportional to 513,650.09, 709,122.18 and 309,752.66

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Solution

The fourth proportional to 513,650.09, 709,122.18 and 309,752.66 is: 427,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,650.09 : 709,122.18 = 309,752.66 : x
  2. Step 2: Convert to fraction form
    513,650.09/709,122.18 = 309,752.66/x
  3. Step 3: Cross multiply
    513,650.09x = 709,122.18 × 309,752.66
  4. Step 4: Simplify right side
    513,650.09x = 219,652,478,723.21
  5. Step 5: Solve for x
    x = 219,652,478,723.21/513,650.09
  6. Step 6: Final answer
    x = 427,630.56

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