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Finding the Fourth Proportional to 382,017.80, 573,638.70 and 303,782.60

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Solution

The fourth proportional to 382,017.80, 573,638.70 and 303,782.60 is: 456,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,017.80 : 573,638.70 = 303,782.60 : x
  2. Step 2: Convert to fraction form
    382,017.80/573,638.70 = 303,782.60/x
  3. Step 3: Cross multiply
    382,017.80x = 573,638.70 × 303,782.60
  4. Step 4: Simplify right side
    382,017.80x = 174,261,455,746.62
  5. Step 5: Solve for x
    x = 174,261,455,746.62/382,017.80
  6. Step 6: Final answer
    x = 456,160.57

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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.