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Finding the Fourth Proportional to 816,138.80, 1,224,323.40 and 255,114.80

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Solution

The fourth proportional to 816,138.80, 1,224,323.40 and 255,114.80 is: 382,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,138.80 : 1,224,323.40 = 255,114.80 : x
  2. Step 2: Convert to fraction form
    816,138.80/1,224,323.40 = 255,114.80/x
  3. Step 3: Cross multiply
    816,138.80x = 1,224,323.40 × 255,114.80
  4. Step 4: Simplify right side
    816,138.80x = 312,343,019,326.32
  5. Step 5: Solve for x
    x = 312,343,019,326.32/816,138.80
  6. Step 6: Final answer
    x = 382,708.21

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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.