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Finding the Fourth Proportional to 565,388.39, 780,202.98 and 310,739.78

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Solution

The fourth proportional to 565,388.39, 780,202.98 and 310,739.78 is: 428,802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,388.39 : 780,202.98 = 310,739.78 : x
  2. Step 2: Convert to fraction form
    565,388.39/780,202.98 = 310,739.78/x
  3. Step 3: Cross multiply
    565,388.39x = 780,202.98 × 310,739.78
  4. Step 4: Simplify right side
    565,388.39x = 242,440,102,360.54
  5. Step 5: Solve for x
    x = 242,440,102,360.54/565,388.39
  6. Step 6: Final answer
    x = 428,802.76

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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.