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Finding the Fourth Proportional to 598,620.52, 826,231.64 and 407,710

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Solution

The fourth proportional to 598,620.52, 826,231.64 and 407,710 is: 562,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,620.52 : 826,231.64 = 407,710 : x
  2. Step 2: Convert to fraction form
    598,620.52/826,231.64 = 407,710/x
  3. Step 3: Cross multiply
    598,620.52x = 826,231.64 × 407,710
  4. Step 4: Simplify right side
    598,620.52x = 336,862,901,944.40
  5. Step 5: Solve for x
    x = 336,862,901,944.40/598,620.52
  6. Step 6: Final answer
    x = 562,731.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.