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Finding the Fourth Proportional to 382,096.50, 572,357 and 223,845.18

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Solution

The fourth proportional to 382,096.50, 572,357 and 223,845.18 is: 335,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,096.50 : 572,357 = 223,845.18 : x
  2. Step 2: Convert to fraction form
    382,096.50/572,357 = 223,845.18/x
  3. Step 3: Cross multiply
    382,096.50x = 572,357 × 223,845.18
  4. Step 4: Simplify right side
    382,096.50x = 128,119,355,689.26
  5. Step 5: Solve for x
    x = 128,119,355,689.26/382,096.50
  6. Step 6: Final answer
    x = 335,306.28

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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.