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Finding the Fourth Proportional to 411,892.30, 617,719.16 and 123,692.33

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Solution

The fourth proportional to 411,892.30, 617,719.16 and 123,692.33 is: 185,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,892.30 : 617,719.16 = 123,692.33 : x
  2. Step 2: Convert to fraction form
    411,892.30/617,719.16 = 123,692.33/x
  3. Step 3: Cross multiply
    411,892.30x = 617,719.16 × 123,692.33
  4. Step 4: Simplify right side
    411,892.30x = 76,407,119,483.99
  5. Step 5: Solve for x
    x = 76,407,119,483.99/411,892.30
  6. Step 6: Final answer
    x = 185,502.67

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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.