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Finding the Fourth Proportional to 569,739.96, 786,256.92 and 315,107.28

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Solution

The fourth proportional to 569,739.96, 786,256.92 and 315,107.28 is: 434,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,739.96 : 786,256.92 = 315,107.28 : x
  2. Step 2: Convert to fraction form
    569,739.96/786,256.92 = 315,107.28/x
  3. Step 3: Cross multiply
    569,739.96x = 786,256.92 × 315,107.28
  4. Step 4: Simplify right side
    569,739.96x = 247,755,279,442.38
  5. Step 5: Solve for x
    x = 247,755,279,442.38/569,739.96
  6. Step 6: Final answer
    x = 434,856.77

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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.