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Finding the Fourth Proportional to 430,769.01, 594,451.38 and 269,712.86

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Solution

The fourth proportional to 430,769.01, 594,451.38 and 269,712.86 is: 372,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,769.01 : 594,451.38 = 269,712.86 : x
  2. Step 2: Convert to fraction form
    430,769.01/594,451.38 = 269,712.86/x
  3. Step 3: Cross multiply
    430,769.01x = 594,451.38 × 269,712.86
  4. Step 4: Simplify right side
    430,769.01x = 160,331,184,127.03
  5. Step 5: Solve for x
    x = 160,331,184,127.03/430,769.01
  6. Step 6: Final answer
    x = 372,197.58

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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.