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Finding the Fourth Proportional to 486,051.60, 729,077.40 and 416,067.60

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Solution

The fourth proportional to 486,051.60, 729,077.40 and 416,067.60 is: 624,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,051.60 : 729,077.40 = 416,067.60 : x
  2. Step 2: Convert to fraction form
    486,051.60/729,077.40 = 416,067.60/x
  3. Step 3: Cross multiply
    486,051.60x = 729,077.40 × 416,067.60
  4. Step 4: Simplify right side
    486,051.60x = 303,345,484,032.24
  5. Step 5: Solve for x
    x = 303,345,484,032.24/486,051.60
  6. Step 6: Final answer
    x = 624,101.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.