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Finding the Fourth Proportional to 343,760.40, 516,029.40 and 185,907.60

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Solution

The fourth proportional to 343,760.40, 516,029.40 and 185,907.60 is: 279,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,760.40 : 516,029.40 = 185,907.60 : x
  2. Step 2: Convert to fraction form
    343,760.40/516,029.40 = 185,907.60/x
  3. Step 3: Cross multiply
    343,760.40x = 516,029.40 × 185,907.60
  4. Step 4: Simplify right side
    343,760.40x = 95,933,787,283.44
  5. Step 5: Solve for x
    x = 95,933,787,283.44/343,760.40
  6. Step 6: Final answer
    x = 279,071.67

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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.