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Finding the Fourth Proportional to 492,772.01, 739,237.86 and 193,090.10

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Solution

The fourth proportional to 492,772.01, 739,237.86 and 193,090.10 is: 289,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,772.01 : 739,237.86 = 193,090.10 : x
  2. Step 2: Convert to fraction form
    492,772.01/739,237.86 = 193,090.10/x
  3. Step 3: Cross multiply
    492,772.01x = 739,237.86 × 193,090.10
  4. Step 4: Simplify right side
    492,772.01x = 142,739,508,615.00
  5. Step 5: Solve for x
    x = 142,739,508,615.00/492,772.01
  6. Step 6: Final answer
    x = 289,666.43

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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.