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Finding the Fourth Proportional to 366,002.80, 549,004.20 and 188,855.80

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Solution

The fourth proportional to 366,002.80, 549,004.20 and 188,855.80 is: 283,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,002.80 : 549,004.20 = 188,855.80 : x
  2. Step 2: Convert to fraction form
    366,002.80/549,004.20 = 188,855.80/x
  3. Step 3: Cross multiply
    366,002.80x = 549,004.20 × 188,855.80
  4. Step 4: Simplify right side
    366,002.80x = 103,682,627,394.36
  5. Step 5: Solve for x
    x = 103,682,627,394.36/366,002.80
  6. Step 6: Final answer
    x = 283,283.70

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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.