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Finding the Fourth Proportional to 283,413.53, 424,868.78 and 115,058.27

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Solution

The fourth proportional to 283,413.53, 424,868.78 and 115,058.27 is: 172,485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,413.53 : 424,868.78 = 115,058.27 : x
  2. Step 2: Convert to fraction form
    283,413.53/424,868.78 = 115,058.27/x
  3. Step 3: Cross multiply
    283,413.53x = 424,868.78 × 115,058.27
  4. Step 4: Simplify right side
    283,413.53x = 48,884,664,967.11
  5. Step 5: Solve for x
    x = 48,884,664,967.11/283,413.53
  6. Step 6: Final answer
    x = 172,485.29

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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.