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Finding the Fourth Proportional to 362,193.12, 499,849.11 and 209,237.74

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Solution

The fourth proportional to 362,193.12, 499,849.11 and 209,237.74 is: 288,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,193.12 : 499,849.11 = 209,237.74 : x
  2. Step 2: Convert to fraction form
    362,193.12/499,849.11 = 209,237.74/x
  3. Step 3: Cross multiply
    362,193.12x = 499,849.11 × 209,237.74
  4. Step 4: Simplify right side
    362,193.12x = 104,587,296,867.79
  5. Step 5: Solve for x
    x = 104,587,296,867.79/362,193.12
  6. Step 6: Final answer
    x = 288,761.14

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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.