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Finding the Fourth Proportional to 633,083.41, 949,703.19 and 206,505.18

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Solution

The fourth proportional to 633,083.41, 949,703.19 and 206,505.18 is: 309,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,083.41 : 949,703.19 = 206,505.18 : x
  2. Step 2: Convert to fraction form
    633,083.41/949,703.19 = 206,505.18/x
  3. Step 3: Cross multiply
    633,083.41x = 949,703.19 × 206,505.18
  4. Step 4: Simplify right side
    633,083.41x = 196,118,627,423.13
  5. Step 5: Solve for x
    x = 196,118,627,423.13/633,083.41
  6. Step 6: Final answer
    x = 309,783.24

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Why These Related Problems?

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