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Finding the Fourth Proportional to 505,659.24, 696,907.35 and 382,857.39

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Solution

The fourth proportional to 505,659.24, 696,907.35 and 382,857.39 is: 527,659.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,659.24 : 696,907.35 = 382,857.39 : x
  2. Step 2: Convert to fraction form
    505,659.24/696,907.35 = 382,857.39/x
  3. Step 3: Cross multiply
    505,659.24x = 696,907.35 × 382,857.39
  4. Step 4: Simplify right side
    505,659.24x = 266,816,129,092.82
  5. Step 5: Solve for x
    x = 266,816,129,092.82/505,659.24
  6. Step 6: Final answer
    x = 527,659.95

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