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Finding the Fourth Proportional to 598,779.74, 824,912.42 and 417,163.16

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Solution

The fourth proportional to 598,779.74, 824,912.42 and 417,163.16 is: 574,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,779.74 : 824,912.42 = 417,163.16 : x
  2. Step 2: Convert to fraction form
    598,779.74/824,912.42 = 417,163.16/x
  3. Step 3: Cross multiply
    598,779.74x = 824,912.42 × 417,163.16
  4. Step 4: Simplify right side
    598,779.74x = 344,123,071,850.45
  5. Step 5: Solve for x
    x = 344,123,071,850.45/598,779.74
  6. Step 6: Final answer
    x = 574,707.27

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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.