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Finding the Fourth Proportional to 475,577.25, 713,675.09 and 205,968.64

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Solution

The fourth proportional to 475,577.25, 713,675.09 and 205,968.64 is: 309,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,577.25 : 713,675.09 = 205,968.64 : x
  2. Step 2: Convert to fraction form
    475,577.25/713,675.09 = 205,968.64/x
  3. Step 3: Cross multiply
    475,577.25x = 713,675.09 × 205,968.64
  4. Step 4: Simplify right side
    475,577.25x = 146,994,687,689.18
  5. Step 5: Solve for x
    x = 146,994,687,689.18/475,577.25
  6. Step 6: Final answer
    x = 309,086.88

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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.