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Finding the Fourth Proportional to 569,311.83, 785,691.08 and 314,657.55

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Solution

The fourth proportional to 569,311.83, 785,691.08 and 314,657.55 is: 434,249.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,311.83 : 785,691.08 = 314,657.55 : x
  2. Step 2: Convert to fraction form
    569,311.83/785,691.08 = 314,657.55/x
  3. Step 3: Cross multiply
    569,311.83x = 785,691.08 × 314,657.55
  4. Step 4: Simplify right side
    569,311.83x = 247,223,628,716.37
  5. Step 5: Solve for x
    x = 247,223,628,716.37/569,311.83
  6. Step 6: Final answer
    x = 434,249.94

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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.