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Finding the Fourth Proportional to 683,596.83, 1,024,728.84 and 273,143.82

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Solution

The fourth proportional to 683,596.83, 1,024,728.84 and 273,143.82 is: 409,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,596.83 : 1,024,728.84 = 273,143.82 : x
  2. Step 2: Convert to fraction form
    683,596.83/1,024,728.84 = 273,143.82/x
  3. Step 3: Cross multiply
    683,596.83x = 1,024,728.84 × 273,143.82
  4. Step 4: Simplify right side
    683,596.83x = 279,898,349,821.77
  5. Step 5: Solve for x
    x = 279,898,349,821.77/683,596.83
  6. Step 6: Final answer
    x = 409,449.46

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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.