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Finding the Fourth Proportional to 505,946.70, 698,233.32 and 291,119.40

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Solution

The fourth proportional to 505,946.70, 698,233.32 and 291,119.40 is: 401,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,946.70 : 698,233.32 = 291,119.40 : x
  2. Step 2: Convert to fraction form
    505,946.70/698,233.32 = 291,119.40/x
  3. Step 3: Cross multiply
    505,946.70x = 698,233.32 × 291,119.40
  4. Step 4: Simplify right side
    505,946.70x = 203,269,265,178.41
  5. Step 5: Solve for x
    x = 203,269,265,178.41/505,946.70
  6. Step 6: Final answer
    x = 401,760.24

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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.