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Finding the Fourth Proportional to 565,544.70, 780,454.26 and 310,912.29

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Solution

The fourth proportional to 565,544.70, 780,454.26 and 310,912.29 is: 429,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,544.70 : 780,454.26 = 310,912.29 : x
  2. Step 2: Convert to fraction form
    565,544.70/780,454.26 = 310,912.29/x
  3. Step 3: Cross multiply
    565,544.70x = 780,454.26 × 310,912.29
  4. Step 4: Simplify right side
    565,544.70x = 242,652,821,216.86
  5. Step 5: Solve for x
    x = 242,652,821,216.86/565,544.70
  6. Step 6: Final answer
    x = 429,060.38

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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.