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Finding the Fourth Proportional to 270,002.40, 405,003.60 and 266,065.80

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Solution

The fourth proportional to 270,002.40, 405,003.60 and 266,065.80 is: 399,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,002.40 : 405,003.60 = 266,065.80 : x
  2. Step 2: Convert to fraction form
    270,002.40/405,003.60 = 266,065.80/x
  3. Step 3: Cross multiply
    270,002.40x = 405,003.60 × 266,065.80
  4. Step 4: Simplify right side
    270,002.40x = 107,757,606,836.88
  5. Step 5: Solve for x
    x = 107,757,606,836.88/270,002.40
  6. Step 6: Final answer
    x = 399,098.70

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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.