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Finding the Fourth Proportional to 362,185.64, 499,839.48 and 209,230.28

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Solution

The fourth proportional to 362,185.64, 499,839.48 and 209,230.28 is: 288,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,185.64 : 499,839.48 = 209,230.28 : x
  2. Step 2: Convert to fraction form
    362,185.64/499,839.48 = 209,230.28/x
  3. Step 3: Cross multiply
    362,185.64x = 499,839.48 × 209,230.28
  4. Step 4: Simplify right side
    362,185.64x = 104,581,554,355.45
  5. Step 5: Solve for x
    x = 104,581,554,355.45/362,185.64
  6. Step 6: Final answer
    x = 288,751.24

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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.