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Finding the Fourth Proportional to 505,684.25, 697,865.48 and 290,824.48

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Solution

The fourth proportional to 505,684.25, 697,865.48 and 290,824.48 is: 401,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,684.25 : 697,865.48 = 290,824.48 : x
  2. Step 2: Convert to fraction form
    505,684.25/697,865.48 = 290,824.48/x
  3. Step 3: Cross multiply
    505,684.25x = 697,865.48 × 290,824.48
  4. Step 4: Simplify right side
    505,684.25x = 202,956,365,330.95
  5. Step 5: Solve for x
    x = 202,956,365,330.95/505,684.25
  6. Step 6: Final answer
    x = 401,349.98

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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.