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Finding the Fourth Proportional to 565,902.56, 849,080.66 and 206,098.47

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Solution

The fourth proportional to 565,902.56, 849,080.66 and 206,098.47 is: 309,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,902.56 : 849,080.66 = 206,098.47 : x
  2. Step 2: Convert to fraction form
    565,902.56/849,080.66 = 206,098.47/x
  3. Step 3: Cross multiply
    565,902.56x = 849,080.66 × 206,098.47
  4. Step 4: Simplify right side
    565,902.56x = 174,994,223,902.10
  5. Step 5: Solve for x
    x = 174,994,223,902.10/565,902.56
  6. Step 6: Final answer
    x = 309,230.31

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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.