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Finding the Fourth Proportional to 580,109.92, 799,060.08 and 410,051.68

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Solution

The fourth proportional to 580,109.92, 799,060.08 and 410,051.68 is: 564,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,109.92 : 799,060.08 = 410,051.68 : x
  2. Step 2: Convert to fraction form
    580,109.92/799,060.08 = 410,051.68/x
  3. Step 3: Cross multiply
    580,109.92x = 799,060.08 × 410,051.68
  4. Step 4: Simplify right side
    580,109.92x = 327,655,928,224.93
  5. Step 5: Solve for x
    x = 327,655,928,224.93/580,109.92
  6. Step 6: Final answer
    x = 564,816.97

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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.