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Finding the Fourth Proportional to 492,833.63, 739,250.46 and 193,455.20

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Solution

The fourth proportional to 492,833.63, 739,250.46 and 193,455.20 is: 290,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,833.63 : 739,250.46 = 193,455.20 : x
  2. Step 2: Convert to fraction form
    492,833.63/739,250.46 = 193,455.20/x
  3. Step 3: Cross multiply
    492,833.63x = 739,250.46 × 193,455.20
  4. Step 4: Simplify right side
    492,833.63x = 143,011,841,893.14
  5. Step 5: Solve for x
    x = 143,011,841,893.14/492,833.63
  6. Step 6: Final answer
    x = 290,182.80

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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.