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Finding the Fourth Proportional to 569,764.14, 786,286.35 and 315,132.54

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Solution

The fourth proportional to 569,764.14, 786,286.35 and 315,132.54 is: 434,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,764.14 : 786,286.35 = 315,132.54 : x
  2. Step 2: Convert to fraction form
    569,764.14/786,286.35 = 315,132.54/x
  3. Step 3: Cross multiply
    569,764.14x = 786,286.35 × 315,132.54
  4. Step 4: Simplify right side
    569,764.14x = 247,784,414,642.83
  5. Step 5: Solve for x
    x = 247,784,414,642.83/569,764.14
  6. Step 6: Final answer
    x = 434,889.45

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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.