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Finding the Fourth Proportional to 292,847.40, 439,271.10 and 71,231.40

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Solution

The fourth proportional to 292,847.40, 439,271.10 and 71,231.40 is: 106,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,847.40 : 439,271.10 = 71,231.40 : x
  2. Step 2: Convert to fraction form
    292,847.40/439,271.10 = 71,231.40/x
  3. Step 3: Cross multiply
    292,847.40x = 439,271.10 × 71,231.40
  4. Step 4: Simplify right side
    292,847.40x = 31,289,895,432.54
  5. Step 5: Solve for x
    x = 31,289,895,432.54/292,847.40
  6. Step 6: Final answer
    x = 106,847.10

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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.