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Finding the Fourth Proportional to 334,314.60, 461,241.94 and 190,973.16

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Solution

The fourth proportional to 334,314.60, 461,241.94 and 190,973.16 is: 263,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,314.60 : 461,241.94 = 190,973.16 : x
  2. Step 2: Convert to fraction form
    334,314.60/461,241.94 = 190,973.16/x
  3. Step 3: Cross multiply
    334,314.60x = 461,241.94 × 190,973.16
  4. Step 4: Simplify right side
    334,314.60x = 88,084,830,806.33
  5. Step 5: Solve for x
    x = 88,084,830,806.33/334,314.60
  6. Step 6: Final answer
    x = 263,478.86

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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.