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Finding the Fourth Proportional to 505,678.52, 697,857.56 and 290,818.75

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Solution

The fourth proportional to 505,678.52, 697,857.56 and 290,818.75 is: 401,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,678.52 : 697,857.56 = 290,818.75 : x
  2. Step 2: Convert to fraction form
    505,678.52/697,857.56 = 290,818.75/x
  3. Step 3: Cross multiply
    505,678.52x = 697,857.56 × 290,818.75
  4. Step 4: Simplify right side
    505,678.52x = 202,950,061,823.16
  5. Step 5: Solve for x
    x = 202,950,061,823.16/505,678.52
  6. Step 6: Final answer
    x = 401,342.07

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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.