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Finding the Fourth Proportional to 315,782.90, 435,973.47 and 205,506.62

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Solution

The fourth proportional to 315,782.90, 435,973.47 and 205,506.62 is: 283,724.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,782.90 : 435,973.47 = 205,506.62 : x
  2. Step 2: Convert to fraction form
    315,782.90/435,973.47 = 205,506.62/x
  3. Step 3: Cross multiply
    315,782.90x = 435,973.47 × 205,506.62
  4. Step 4: Simplify right side
    315,782.90x = 89,595,434,229.37
  5. Step 5: Solve for x
    x = 89,595,434,229.37/315,782.90
  6. Step 6: Final answer
    x = 283,724.78

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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.