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Finding the Fourth Proportional to 383,241.29, 575,107.90 and 257,024.01

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Solution

The fourth proportional to 383,241.29, 575,107.90 and 257,024.01 is: 385,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,241.29 : 575,107.90 = 257,024.01 : x
  2. Step 2: Convert to fraction form
    383,241.29/575,107.90 = 257,024.01/x
  3. Step 3: Cross multiply
    383,241.29x = 575,107.90 × 257,024.01
  4. Step 4: Simplify right side
    383,241.29x = 147,816,537,355.56
  5. Step 5: Solve for x
    x = 147,816,537,355.56/383,241.29
  6. Step 6: Final answer
    x = 385,700.97

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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.