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Finding the Fourth Proportional to 712,563.59, 983,353.66 and 406,633.88

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Solution

The fourth proportional to 712,563.59, 983,353.66 and 406,633.88 is: 561,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,563.59 : 983,353.66 = 406,633.88 : x
  2. Step 2: Convert to fraction form
    712,563.59/983,353.66 = 406,633.88/x
  3. Step 3: Cross multiply
    712,563.59x = 983,353.66 × 406,633.88
  4. Step 4: Simplify right side
    712,563.59x = 399,864,912,375.75
  5. Step 5: Solve for x
    x = 399,864,912,375.75/712,563.59
  6. Step 6: Final answer
    x = 561,163.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.