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Finding the Fourth Proportional to 366,339.34, 505,542.33 and 205,193.98

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Solution

The fourth proportional to 366,339.34, 505,542.33 and 205,193.98 is: 283,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,339.34 : 505,542.33 = 205,193.98 : x
  2. Step 2: Convert to fraction form
    366,339.34/505,542.33 = 205,193.98/x
  3. Step 3: Cross multiply
    366,339.34x = 505,542.33 × 205,193.98
  4. Step 4: Simplify right side
    366,339.34x = 103,734,242,751.17
  5. Step 5: Solve for x
    x = 103,734,242,751.17/366,339.34
  6. Step 6: Final answer
    x = 283,164.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.