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Finding the Fourth Proportional to 293,029.40, 439,544.10 and 71,413.40

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Solution

The fourth proportional to 293,029.40, 439,544.10 and 71,413.40 is: 107,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,029.40 : 439,544.10 = 71,413.40 : x
  2. Step 2: Convert to fraction form
    293,029.40/439,544.10 = 71,413.40/x
  3. Step 3: Cross multiply
    293,029.40x = 439,544.10 × 71,413.40
  4. Step 4: Simplify right side
    293,029.40x = 31,389,338,630.94
  5. Step 5: Solve for x
    x = 31,389,338,630.94/293,029.40
  6. Step 6: Final answer
    x = 107,120.10

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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.