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Finding the Fourth Proportional to 299,782.16, 413,413.47 and 196,261.89

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Solution

The fourth proportional to 299,782.16, 413,413.47 and 196,261.89 is: 270,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,782.16 : 413,413.47 = 196,261.89 : x
  2. Step 2: Convert to fraction form
    299,782.16/413,413.47 = 196,261.89/x
  3. Step 3: Cross multiply
    299,782.16x = 413,413.47 × 196,261.89
  4. Step 4: Simplify right side
    299,782.16x = 81,137,307,423.36
  5. Step 5: Solve for x
    x = 81,137,307,423.36/299,782.16
  6. Step 6: Final answer
    x = 270,654.22

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1.5x scale

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.