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Finding the Fourth Proportional to 382,053.60, 573,080.40 and 353,185.20

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Solution

The fourth proportional to 382,053.60, 573,080.40 and 353,185.20 is: 529,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,053.60 : 573,080.40 = 353,185.20 : x
  2. Step 2: Convert to fraction form
    382,053.60/573,080.40 = 353,185.20/x
  3. Step 3: Cross multiply
    382,053.60x = 573,080.40 × 353,185.20
  4. Step 4: Simplify right side
    382,053.60x = 202,403,515,690.08
  5. Step 5: Solve for x
    x = 202,403,515,690.08/382,053.60
  6. Step 6: Final answer
    x = 529,777.80

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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.