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Finding the Fourth Proportional to 401,114.04, 601,515.54 and 214,023.48

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Solution

The fourth proportional to 401,114.04, 601,515.54 and 214,023.48 is: 320,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,114.04 : 601,515.54 = 214,023.48 : x
  2. Step 2: Convert to fraction form
    401,114.04/601,515.54 = 214,023.48/x
  3. Step 3: Cross multiply
    401,114.04x = 601,515.54 × 214,023.48
  4. Step 4: Simplify right side
    401,114.04x = 128,738,449,144.88
  5. Step 5: Solve for x
    x = 128,738,449,144.88/401,114.04
  6. Step 6: Final answer
    x = 320,952.24

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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.