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Finding the Fourth Proportional to 409,993.01, 565,546.77 and 319,205.17

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Solution

The fourth proportional to 409,993.01, 565,546.77 and 319,205.17 is: 440,313.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,993.01 : 565,546.77 = 319,205.17 : x
  2. Step 2: Convert to fraction form
    409,993.01/565,546.77 = 319,205.17/x
  3. Step 3: Cross multiply
    409,993.01x = 565,546.77 × 319,205.17
  4. Step 4: Simplify right side
    409,993.01x = 180,525,453,567.73
  5. Step 5: Solve for x
    x = 180,525,453,567.73/409,993.01
  6. Step 6: Final answer
    x = 440,313.49

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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.