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Finding the Fourth Proportional to 471,492.75, 650,674.04 and 290,309.21

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Solution

The fourth proportional to 471,492.75, 650,674.04 and 290,309.21 is: 400,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,492.75 : 650,674.04 = 290,309.21 : x
  2. Step 2: Convert to fraction form
    471,492.75/650,674.04 = 290,309.21/x
  3. Step 3: Cross multiply
    471,492.75x = 650,674.04 × 290,309.21
  4. Step 4: Simplify right side
    471,492.75x = 188,896,666,519.91
  5. Step 5: Solve for x
    x = 188,896,666,519.91/471,492.75
  6. Step 6: Final answer
    x = 400,635.36

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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.