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Finding the Fourth Proportional to 310,623.26, 465,945.21 and 85,964.90

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Solution

The fourth proportional to 310,623.26, 465,945.21 and 85,964.90 is: 128,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,623.26 : 465,945.21 = 85,964.90 : x
  2. Step 2: Convert to fraction form
    310,623.26/465,945.21 = 85,964.90/x
  3. Step 3: Cross multiply
    310,623.26x = 465,945.21 × 85,964.90
  4. Step 4: Simplify right side
    310,623.26x = 40,054,931,053.40
  5. Step 5: Solve for x
    x = 40,054,931,053.40/310,623.26
  6. Step 6: Final answer
    x = 128,950.20

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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.