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Finding the Fourth Proportional to 382,707.40, 573,801.90 and 202,822.60

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Solution

The fourth proportional to 382,707.40, 573,801.90 and 202,822.60 is: 304,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,707.40 : 573,801.90 = 202,822.60 : x
  2. Step 2: Convert to fraction form
    382,707.40/573,801.90 = 202,822.60/x
  3. Step 3: Cross multiply
    382,707.40x = 573,801.90 × 202,822.60
  4. Step 4: Simplify right side
    382,707.40x = 116,379,993,242.94
  5. Step 5: Solve for x
    x = 116,379,993,242.94/382,707.40
  6. Step 6: Final answer
    x = 304,096.53

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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.