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Finding the Fourth Proportional to 291,603.96, 402,413.49 and 164,279.52

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Solution

The fourth proportional to 291,603.96, 402,413.49 and 164,279.52 is: 226,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,603.96 : 402,413.49 = 164,279.52 : x
  2. Step 2: Convert to fraction form
    291,603.96/402,413.49 = 164,279.52/x
  3. Step 3: Cross multiply
    291,603.96x = 402,413.49 × 164,279.52
  4. Step 4: Simplify right side
    291,603.96x = 66,108,294,978.72
  5. Step 5: Solve for x
    x = 66,108,294,978.72/291,603.96
  6. Step 6: Final answer
    x = 226,705.75

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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.