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Finding the Fourth Proportional to 327,200.40, 490,703.40 and 127,405.80

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Solution

The fourth proportional to 327,200.40, 490,703.40 and 127,405.80 is: 191,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,200.40 : 490,703.40 = 127,405.80 : x
  2. Step 2: Convert to fraction form
    327,200.40/490,703.40 = 127,405.80/x
  3. Step 3: Cross multiply
    327,200.40x = 490,703.40 × 127,405.80
  4. Step 4: Simplify right side
    327,200.40x = 62,518,459,239.72
  5. Step 5: Solve for x
    x = 62,518,459,239.72/327,200.40
  6. Step 6: Final answer
    x = 191,070.85

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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.