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Finding the Fourth Proportional to 619,763.94, 929,655.99 and 193,311

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Solution

The fourth proportional to 619,763.94, 929,655.99 and 193,311 is: 289,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,763.94 : 929,655.99 = 193,311 : x
  2. Step 2: Convert to fraction form
    619,763.94/929,655.99 = 193,311/x
  3. Step 3: Cross multiply
    619,763.94x = 929,655.99 × 193,311
  4. Step 4: Simplify right side
    619,763.94x = 179,712,729,082.89
  5. Step 5: Solve for x
    x = 179,712,729,082.89/619,763.94
  6. Step 6: Final answer
    x = 289,969.64

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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.