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Finding the Fourth Proportional to 802,106.85, 1,203,197.19 and 328,460.06

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Solution

The fourth proportional to 802,106.85, 1,203,197.19 and 328,460.06 is: 492,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,106.85 : 1,203,197.19 = 328,460.06 : x
  2. Step 2: Convert to fraction form
    802,106.85/1,203,197.19 = 328,460.06/x
  3. Step 3: Cross multiply
    802,106.85x = 1,203,197.19 × 328,460.06
  4. Step 4: Simplify right side
    802,106.85x = 395,202,222,995.50
  5. Step 5: Solve for x
    x = 395,202,222,995.50/802,106.85
  6. Step 6: Final answer
    x = 492,705.21

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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.