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Finding the Fourth Proportional to 492,799.64, 739,246.14 and 137,813.60

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Solution

The fourth proportional to 492,799.64, 739,246.14 and 137,813.60 is: 206,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,799.64 : 739,246.14 = 137,813.60 : x
  2. Step 2: Convert to fraction form
    492,799.64/739,246.14 = 137,813.60/x
  3. Step 3: Cross multiply
    492,799.64x = 739,246.14 × 137,813.60
  4. Step 4: Simplify right side
    492,799.64x = 101,878,171,839.50
  5. Step 5: Solve for x
    x = 101,878,171,839.50/492,799.64
  6. Step 6: Final answer
    x = 206,733.45

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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.