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Finding the Fourth Proportional to 364,009.20, 546,013.80 and 269,530.80

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Solution

The fourth proportional to 364,009.20, 546,013.80 and 269,530.80 is: 404,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,009.20 : 546,013.80 = 269,530.80 : x
  2. Step 2: Convert to fraction form
    364,009.20/546,013.80 = 269,530.80/x
  3. Step 3: Cross multiply
    364,009.20x = 546,013.80 × 269,530.80
  4. Step 4: Simplify right side
    364,009.20x = 147,167,536,325.04
  5. Step 5: Solve for x
    x = 147,167,536,325.04/364,009.20
  6. Step 6: Final answer
    x = 404,296.20

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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.