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Finding the Fourth Proportional to 312,596.25, 431,224.24 and 197,681.23

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Solution

The fourth proportional to 312,596.25, 431,224.24 and 197,681.23 is: 272,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,596.25 : 431,224.24 = 197,681.23 : x
  2. Step 2: Convert to fraction form
    312,596.25/431,224.24 = 197,681.23/x
  3. Step 3: Cross multiply
    312,596.25x = 431,224.24 × 197,681.23
  4. Step 4: Simplify right side
    312,596.25x = 85,244,938,169.02
  5. Step 5: Solve for x
    x = 85,244,938,169.02/312,596.25
  6. Step 6: Final answer
    x = 272,699.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.