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Finding the Fourth Proportional to 411,808.40, 617,567.89 and 123,534.09

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Solution

The fourth proportional to 411,808.40, 617,567.89 and 123,534.09 is: 185,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,808.40 : 617,567.89 = 123,534.09 : x
  2. Step 2: Convert to fraction form
    411,808.40/617,567.89 = 123,534.09/x
  3. Step 3: Cross multiply
    411,808.40x = 617,567.89 × 123,534.09
  4. Step 4: Simplify right side
    411,808.40x = 76,290,684,679.66
  5. Step 5: Solve for x
    x = 76,290,684,679.66/411,808.40
  6. Step 6: Final answer
    x = 185,257.72

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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.