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Finding the Fourth Proportional to 382,242.80, 572,575.80 and 223,991.60

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Solution

The fourth proportional to 382,242.80, 572,575.80 and 223,991.60 is: 335,525.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,242.80 : 572,575.80 = 223,991.60 : x
  2. Step 2: Convert to fraction form
    382,242.80/572,575.80 = 223,991.60/x
  3. Step 3: Cross multiply
    382,242.80x = 572,575.80 × 223,991.60
  4. Step 4: Simplify right side
    382,242.80x = 128,252,169,563.28
  5. Step 5: Solve for x
    x = 128,252,169,563.28/382,242.80
  6. Step 6: Final answer
    x = 335,525.40

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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.