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Finding the Fourth Proportional to 382,093.50, 572,352.51 and 223,842.18

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Solution

The fourth proportional to 382,093.50, 572,352.51 and 223,842.18 is: 335,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,093.50 : 572,352.51 = 223,842.18 : x
  2. Step 2: Convert to fraction form
    382,093.50/572,352.51 = 223,842.18/x
  3. Step 3: Cross multiply
    382,093.50x = 572,352.51 × 223,842.18
  4. Step 4: Simplify right side
    382,093.50x = 128,116,633,566.87
  5. Step 5: Solve for x
    x = 128,116,633,566.87/382,093.50
  6. Step 6: Final answer
    x = 335,301.79

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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.