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Finding the Fourth Proportional to 310,534.30, 465,469.26 and 160,623.64

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Solution

The fourth proportional to 310,534.30, 465,469.26 and 160,623.64 is: 240,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,534.30 : 465,469.26 = 160,623.64 : x
  2. Step 2: Convert to fraction form
    310,534.30/465,469.26 = 160,623.64/x
  3. Step 3: Cross multiply
    310,534.30x = 465,469.26 × 160,623.64
  4. Step 4: Simplify right side
    310,534.30x = 74,765,366,849.31
  5. Step 5: Solve for x
    x = 74,765,366,849.31/310,534.30
  6. Step 6: Final answer
    x = 240,763.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.