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Finding the Fourth Proportional to 551,427.80, 827,141.70 and 411,459.80

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Solution

The fourth proportional to 551,427.80, 827,141.70 and 411,459.80 is: 617,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,427.80 : 827,141.70 = 411,459.80 : x
  2. Step 2: Convert to fraction form
    551,427.80/827,141.70 = 411,459.80/x
  3. Step 3: Cross multiply
    551,427.80x = 827,141.70 × 411,459.80
  4. Step 4: Simplify right side
    551,427.80x = 340,335,558,453.66
  5. Step 5: Solve for x
    x = 340,335,558,453.66/551,427.80
  6. Step 6: Final answer
    x = 617,189.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.