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Finding the Fourth Proportional to 534,064.26, 800,809.05 and 214,055.54

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Solution

The fourth proportional to 534,064.26, 800,809.05 and 214,055.54 is: 320,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,064.26 : 800,809.05 = 214,055.54 : x
  2. Step 2: Convert to fraction form
    534,064.26/800,809.05 = 214,055.54/x
  3. Step 3: Cross multiply
    534,064.26x = 800,809.05 × 214,055.54
  4. Step 4: Simplify right side
    534,064.26x = 171,417,613,634.64
  5. Step 5: Solve for x
    x = 171,417,613,634.64/534,064.26
  6. Step 6: Final answer
    x = 320,968.14

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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.