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Finding the Fourth Proportional to 424,035.60, 585,174.24 and 233,047.68

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Solution

The fourth proportional to 424,035.60, 585,174.24 and 233,047.68 is: 321,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,035.60 : 585,174.24 = 233,047.68 : x
  2. Step 2: Convert to fraction form
    424,035.60/585,174.24 = 233,047.68/x
  3. Step 3: Cross multiply
    424,035.60x = 585,174.24 × 233,047.68
  4. Step 4: Simplify right side
    424,035.60x = 136,373,499,027.76
  5. Step 5: Solve for x
    x = 136,373,499,027.76/424,035.60
  6. Step 6: Final answer
    x = 321,608.61

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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.