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Finding the Fourth Proportional to 569,796.80, 786,266.80 and 315,142.52

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Solution

The fourth proportional to 569,796.80, 786,266.80 and 315,142.52 is: 434,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,796.80 : 786,266.80 = 315,142.52 : x
  2. Step 2: Convert to fraction form
    569,796.80/786,266.80 = 315,142.52/x
  3. Step 3: Cross multiply
    569,796.80x = 786,266.80 × 315,142.52
  4. Step 4: Simplify right side
    569,796.80x = 247,786,096,025.15
  5. Step 5: Solve for x
    x = 247,786,096,025.15/569,796.80
  6. Step 6: Final answer
    x = 434,867.48

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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.