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Finding the Fourth Proportional to 416,003.47, 573,564.20 and 347,192.26

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Solution

The fourth proportional to 416,003.47, 573,564.20 and 347,192.26 is: 478,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,003.47 : 573,564.20 = 347,192.26 : x
  2. Step 2: Convert to fraction form
    416,003.47/573,564.20 = 347,192.26/x
  3. Step 3: Cross multiply
    416,003.47x = 573,564.20 × 347,192.26
  4. Step 4: Simplify right side
    416,003.47x = 199,137,047,683.22
  5. Step 5: Solve for x
    x = 199,137,047,683.22/416,003.47
  6. Step 6: Final answer
    x = 478,690.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.