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Finding the Fourth Proportional to 590,082.60, 814,174.02 and 335,413.74

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Solution

The fourth proportional to 590,082.60, 814,174.02 and 335,413.74 is: 462,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,082.60 : 814,174.02 = 335,413.74 : x
  2. Step 2: Convert to fraction form
    590,082.60/814,174.02 = 335,413.74/x
  3. Step 3: Cross multiply
    590,082.60x = 814,174.02 × 335,413.74
  4. Step 4: Simplify right side
    590,082.60x = 273,085,153,059.04
  5. Step 5: Solve for x
    x = 273,085,153,059.04/590,082.60
  6. Step 6: Final answer
    x = 462,791.40

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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.