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Finding the Fourth Proportional to 366,976.01, 506,386.41 and 205,797.89

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Solution

The fourth proportional to 366,976.01, 506,386.41 and 205,797.89 is: 283,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,976.01 : 506,386.41 = 205,797.89 : x
  2. Step 2: Convert to fraction form
    366,976.01/506,386.41 = 205,797.89/x
  3. Step 3: Cross multiply
    366,976.01x = 506,386.41 × 205,797.89
  4. Step 4: Simplify right side
    366,976.01x = 104,213,254,702.68
  5. Step 5: Solve for x
    x = 104,213,254,702.68/366,976.01
  6. Step 6: Final answer
    x = 283,978.39

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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.