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Finding the Fourth Proportional to 565,588.24, 780,517.07 and 310,941.25

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Solution

The fourth proportional to 565,588.24, 780,517.07 and 310,941.25 is: 429,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,588.24 : 780,517.07 = 310,941.25 : x
  2. Step 2: Convert to fraction form
    565,588.24/780,517.07 = 310,941.25/x
  3. Step 3: Cross multiply
    565,588.24x = 780,517.07 × 310,941.25
  4. Step 4: Simplify right side
    565,588.24x = 242,694,951,837.43
  5. Step 5: Solve for x
    x = 242,694,951,837.43/565,588.24
  6. Step 6: Final answer
    x = 429,101.84

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Why These Related Problems?

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