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Finding the Fourth Proportional to 471,484.14, 650,662.20 and 290,300.58

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Solution

The fourth proportional to 471,484.14, 650,662.20 and 290,300.58 is: 400,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,484.14 : 650,662.20 = 290,300.58 : x
  2. Step 2: Convert to fraction form
    471,484.14/650,662.20 = 290,300.58/x
  3. Step 3: Cross multiply
    471,484.14x = 650,662.20 × 290,300.58
  4. Step 4: Simplify right side
    471,484.14x = 188,887,614,044.08
  5. Step 5: Solve for x
    x = 188,887,614,044.08/471,484.14
  6. Step 6: Final answer
    x = 400,623.47

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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.