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Finding the Fourth Proportional to 362,712.82, 500,503.94 and 209,727.86

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Solution

The fourth proportional to 362,712.82, 500,503.94 and 209,727.86 is: 289,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,712.82 : 500,503.94 = 209,727.86 : x
  2. Step 2: Convert to fraction form
    362,712.82/500,503.94 = 209,727.86/x
  3. Step 3: Cross multiply
    362,712.82x = 500,503.94 × 209,727.86
  4. Step 4: Simplify right side
    362,712.82x = 104,969,620,080.48
  5. Step 5: Solve for x
    x = 104,969,620,080.48/362,712.82
  6. Step 6: Final answer
    x = 289,401.46

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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.