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Finding the Fourth Proportional to 327,218.40, 490,827.60 and 177,530.40

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Solution

The fourth proportional to 327,218.40, 490,827.60 and 177,530.40 is: 266,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,218.40 : 490,827.60 = 177,530.40 : x
  2. Step 2: Convert to fraction form
    327,218.40/490,827.60 = 177,530.40/x
  3. Step 3: Cross multiply
    327,218.40x = 490,827.60 × 177,530.40
  4. Step 4: Simplify right side
    327,218.40x = 87,136,820,159.04
  5. Step 5: Solve for x
    x = 87,136,820,159.04/327,218.40
  6. Step 6: Final answer
    x = 266,295.60

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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.