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Finding the Fourth Proportional to 493,124.22, 680,512.59 and 266,769.72

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Solution

The fourth proportional to 493,124.22, 680,512.59 and 266,769.72 is: 368,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,124.22 : 680,512.59 = 266,769.72 : x
  2. Step 2: Convert to fraction form
    493,124.22/680,512.59 = 266,769.72/x
  3. Step 3: Cross multiply
    493,124.22x = 680,512.59 × 266,769.72
  4. Step 4: Simplify right side
    493,124.22x = 181,540,153,090.78
  5. Step 5: Solve for x
    x = 181,540,153,090.78/493,124.22
  6. Step 6: Final answer
    x = 368,142.84

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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.