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Finding the Fourth Proportional to 327,145.80, 490,718.70 and 314,898.60

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Solution

The fourth proportional to 327,145.80, 490,718.70 and 314,898.60 is: 472,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,145.80 : 490,718.70 = 314,898.60 : x
  2. Step 2: Convert to fraction form
    327,145.80/490,718.70 = 314,898.60/x
  3. Step 3: Cross multiply
    327,145.80x = 490,718.70 × 314,898.60
  4. Step 4: Simplify right side
    327,145.80x = 154,526,631,623.82
  5. Step 5: Solve for x
    x = 154,526,631,623.82/327,145.80
  6. Step 6: Final answer
    x = 472,347.90

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Why These Related Problems?

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