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Finding the Fourth Proportional to 401,004.18, 601,463.88 and 211,388.58

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Solution

The fourth proportional to 401,004.18, 601,463.88 and 211,388.58 is: 317,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004.18 : 601,463.88 = 211,388.58 : x
  2. Step 2: Convert to fraction form
    401,004.18/601,463.88 = 211,388.58/x
  3. Step 3: Cross multiply
    401,004.18x = 601,463.88 × 211,388.58
  4. Step 4: Simplify right side
    401,004.18x = 127,142,595,514.49
  5. Step 5: Solve for x
    x = 127,142,595,514.49/401,004.18
  6. Step 6: Final answer
    x = 317,060.52

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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.