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Finding the Fourth Proportional to 264,446.46, 396,683.54 and 201,365.52

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Solution

The fourth proportional to 264,446.46, 396,683.54 and 201,365.52 is: 302,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,446.46 : 396,683.54 = 201,365.52 : x
  2. Step 2: Convert to fraction form
    264,446.46/396,683.54 = 201,365.52/x
  3. Step 3: Cross multiply
    264,446.46x = 396,683.54 × 201,365.52
  4. Step 4: Simplify right side
    264,446.46x = 79,878,387,810.95
  5. Step 5: Solve for x
    x = 79,878,387,810.95/264,446.46
  6. Step 6: Final answer
    x = 302,058.83

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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.