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Finding the Fourth Proportional to 598,832.92, 826,311 and 357,143.86

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Solution

The fourth proportional to 598,832.92, 826,311 and 357,143.86 is: 492,811.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,832.92 : 826,311 = 357,143.86 : x
  2. Step 2: Convert to fraction form
    598,832.92/826,311 = 357,143.86/x
  3. Step 3: Cross multiply
    598,832.92x = 826,311 × 357,143.86
  4. Step 4: Simplify right side
    598,832.92x = 295,111,900,100.46
  5. Step 5: Solve for x
    x = 295,111,900,100.46/598,832.92
  6. Step 6: Final answer
    x = 492,811.75

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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.