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Finding the Fourth Proportional to 382,028.16, 572,254.83 and 223,776.84

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Solution

The fourth proportional to 382,028.16, 572,254.83 and 223,776.84 is: 335,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,028.16 : 572,254.83 = 223,776.84 : x
  2. Step 2: Convert to fraction form
    382,028.16/572,254.83 = 223,776.84/x
  3. Step 3: Cross multiply
    382,028.16x = 572,254.83 × 223,776.84
  4. Step 4: Simplify right side
    382,028.16x = 128,057,377,532.14
  5. Step 5: Solve for x
    x = 128,057,377,532.14/382,028.16
  6. Step 6: Final answer
    x = 335,204.03

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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.