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Finding the Fourth Proportional to 717,165.82, 989,692.45 and 411,253.73

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Solution

The fourth proportional to 717,165.82, 989,692.45 and 411,253.73 is: 567,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,165.82 : 989,692.45 = 411,253.73 : x
  2. Step 2: Convert to fraction form
    717,165.82/989,692.45 = 411,253.73/x
  3. Step 3: Cross multiply
    717,165.82x = 989,692.45 × 411,253.73
  4. Step 4: Simplify right side
    717,165.82x = 407,014,709,350.09
  5. Step 5: Solve for x
    x = 407,014,709,350.09/717,165.82
  6. Step 6: Final answer
    x = 567,532.22

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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.