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Finding the Fourth Proportional to 428,613.12, 642,297.60 and 241,224.48

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Solution

The fourth proportional to 428,613.12, 642,297.60 and 241,224.48 is: 361,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,613.12 : 642,297.60 = 241,224.48 : x
  2. Step 2: Convert to fraction form
    428,613.12/642,297.60 = 241,224.48/x
  3. Step 3: Cross multiply
    428,613.12x = 642,297.60 × 241,224.48
  4. Step 4: Simplify right side
    428,613.12x = 154,937,904,565.25
  5. Step 5: Solve for x
    x = 154,937,904,565.25/428,613.12
  6. Step 6: Final answer
    x = 361,486.61

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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.