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Finding the Fourth Proportional to 412,681.12, 619,199.87 and 223,274.95

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Solution

The fourth proportional to 412,681.12, 619,199.87 and 223,274.95 is: 335,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,681.12 : 619,199.87 = 223,274.95 : x
  2. Step 2: Convert to fraction form
    412,681.12/619,199.87 = 223,274.95/x
  3. Step 3: Cross multiply
    412,681.12x = 619,199.87 × 223,274.95
  4. Step 4: Simplify right side
    412,681.12x = 138,251,820,014.26
  5. Step 5: Solve for x
    x = 138,251,820,014.26/412,681.12
  6. Step 6: Final answer
    x = 335,008.83

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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.