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Finding the Fourth Proportional to 420,697.68, 580,586.32 and 229,728.80

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Solution

The fourth proportional to 420,697.68, 580,586.32 and 229,728.80 is: 317,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,697.68 : 580,586.32 = 229,728.80 : x
  2. Step 2: Convert to fraction form
    420,697.68/580,586.32 = 229,728.80/x
  3. Step 3: Cross multiply
    420,697.68x = 580,586.32 × 229,728.80
  4. Step 4: Simplify right side
    420,697.68x = 133,377,398,590.02
  5. Step 5: Solve for x
    x = 133,377,398,590.02/420,697.68
  6. Step 6: Final answer
    x = 317,038.59

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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.