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Finding the Fourth Proportional to 382,074.26, 572,323.80 and 223,822.94

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Solution

The fourth proportional to 382,074.26, 572,323.80 and 223,822.94 is: 335,273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,074.26 : 572,323.80 = 223,822.94 : x
  2. Step 2: Convert to fraction form
    382,074.26/572,323.80 = 223,822.94/x
  3. Step 3: Cross multiply
    382,074.26x = 572,323.80 × 223,822.94
  4. Step 4: Simplify right side
    382,074.26x = 128,099,195,547.97
  5. Step 5: Solve for x
    x = 128,099,195,547.97/382,074.26
  6. Step 6: Final answer
    x = 335,273.03

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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.