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Finding the Fourth Proportional to 565,941.24, 780,982.62 and 311,292.42

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Solution

The fourth proportional to 565,941.24, 780,982.62 and 311,292.42 is: 429,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,941.24 : 780,982.62 = 311,292.42 : x
  2. Step 2: Convert to fraction form
    565,941.24/780,982.62 = 311,292.42/x
  3. Step 3: Cross multiply
    565,941.24x = 780,982.62 × 311,292.42
  4. Step 4: Simplify right side
    565,941.24x = 243,113,969,757.74
  5. Step 5: Solve for x
    x = 243,113,969,757.74/565,941.24
  6. Step 6: Final answer
    x = 429,574.58

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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.