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Finding the Fourth Proportional to 382,534.20, 573,801.30 and 340,543.80

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Solution

The fourth proportional to 382,534.20, 573,801.30 and 340,543.80 is: 510,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,534.20 : 573,801.30 = 340,543.80 : x
  2. Step 2: Convert to fraction form
    382,534.20/573,801.30 = 340,543.80/x
  3. Step 3: Cross multiply
    382,534.20x = 573,801.30 × 340,543.80
  4. Step 4: Simplify right side
    382,534.20x = 195,404,475,146.94
  5. Step 5: Solve for x
    x = 195,404,475,146.94/382,534.20
  6. Step 6: Final answer
    x = 510,815.70

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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.