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Finding the Fourth Proportional to 362,004.40, 499,439.02 and 209,038.24

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Solution

The fourth proportional to 362,004.40, 499,439.02 and 209,038.24 is: 288,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,004.40 : 499,439.02 = 209,038.24 : x
  2. Step 2: Convert to fraction form
    362,004.40/499,439.02 = 209,038.24/x
  3. Step 3: Cross multiply
    362,004.40x = 499,439.02 × 209,038.24
  4. Step 4: Simplify right side
    362,004.40x = 104,401,853,728.13
  5. Step 5: Solve for x
    x = 104,401,853,728.13/362,004.40
  6. Step 6: Final answer
    x = 288,399.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.