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Finding the Fourth Proportional to 590,556.33, 814,967.50 and 322,284.33

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Solution

The fourth proportional to 590,556.33, 814,967.50 and 322,284.33 is: 444,752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,556.33 : 814,967.50 = 322,284.33 : x
  2. Step 2: Convert to fraction form
    590,556.33/814,967.50 = 322,284.33/x
  3. Step 3: Cross multiply
    590,556.33x = 814,967.50 × 322,284.33
  4. Step 4: Simplify right side
    590,556.33x = 262,651,254,709.28
  5. Step 5: Solve for x
    x = 262,651,254,709.28/590,556.33
  6. Step 6: Final answer
    x = 444,752.25

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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.