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Finding the Fourth Proportional to 260,081.40, 390,413.70 and 201,178.20

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Solution

The fourth proportional to 260,081.40, 390,413.70 and 201,178.20 is: 301,992.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,081.40 : 390,413.70 = 201,178.20 : x
  2. Step 2: Convert to fraction form
    260,081.40/390,413.70 = 201,178.20/x
  3. Step 3: Cross multiply
    260,081.40x = 390,413.70 × 201,178.20
  4. Step 4: Simplify right side
    260,081.40x = 78,542,725,421.34
  5. Step 5: Solve for x
    x = 78,542,725,421.34/260,081.40
  6. Step 6: Final answer
    x = 301,992.86

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1.5x scale

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.