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Finding the Fourth Proportional to 420,797, 580,622.90 and 239,498.22

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Solution

The fourth proportional to 420,797, 580,622.90 and 239,498.22 is: 330,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,797 : 580,622.90 = 239,498.22 : x
  2. Step 2: Convert to fraction form
    420,797/580,622.90 = 239,498.22/x
  3. Step 3: Cross multiply
    420,797x = 580,622.90 × 239,498.22
  4. Step 4: Simplify right side
    420,797x = 139,058,151,041.24
  5. Step 5: Solve for x
    x = 139,058,151,041.24/420,797
  6. Step 6: Final answer
    x = 330,463.74

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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.