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Finding the Fourth Proportional to 569,564.22, 786,014.37 and 314,924.52

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Solution

The fourth proportional to 569,564.22, 786,014.37 and 314,924.52 is: 434,604.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,564.22 : 786,014.37 = 314,924.52 : x
  2. Step 2: Convert to fraction form
    569,564.22/786,014.37 = 314,924.52/x
  3. Step 3: Cross multiply
    569,564.22x = 786,014.37 × 314,924.52
  4. Step 4: Simplify right side
    569,564.22x = 247,535,198,185.35
  5. Step 5: Solve for x
    x = 247,535,198,185.35/569,564.22
  6. Step 6: Final answer
    x = 434,604.54

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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.