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Finding the Fourth Proportional to 601,229.84, 900,413.24 and 347,977.04

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Solution

The fourth proportional to 601,229.84, 900,413.24 and 347,977.04 is: 521,137.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,229.84 : 900,413.24 = 347,977.04 : x
  2. Step 2: Convert to fraction form
    601,229.84/900,413.24 = 347,977.04/x
  3. Step 3: Cross multiply
    601,229.84x = 900,413.24 × 347,977.04
  4. Step 4: Simplify right side
    601,229.84x = 313,323,134,032.01
  5. Step 5: Solve for x
    x = 313,323,134,032.01/601,229.84
  6. Step 6: Final answer
    x = 521,137.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.