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Finding the Fourth Proportional to 316,535.56, 474,475.26 and 197,934.64

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Solution

The fourth proportional to 316,535.56, 474,475.26 and 197,934.64 is: 296,696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,535.56 : 474,475.26 = 197,934.64 : x
  2. Step 2: Convert to fraction form
    316,535.56/474,475.26 = 197,934.64/x
  3. Step 3: Cross multiply
    316,535.56x = 474,475.26 × 197,934.64
  4. Step 4: Simplify right side
    316,535.56x = 93,915,089,777.01
  5. Step 5: Solve for x
    x = 93,915,089,777.01/316,535.56
  6. Step 6: Final answer
    x = 296,696.81

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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.