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Finding the Fourth Proportional to 300,601.53, 414,630.47 and 193,307.31

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Solution

The fourth proportional to 300,601.53, 414,630.47 and 193,307.31 is: 266,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,601.53 : 414,630.47 = 193,307.31 : x
  2. Step 2: Convert to fraction form
    300,601.53/414,630.47 = 193,307.31/x
  3. Step 3: Cross multiply
    300,601.53x = 414,630.47 × 193,307.31
  4. Step 4: Simplify right side
    300,601.53x = 80,151,101,283.00
  5. Step 5: Solve for x
    x = 80,151,101,283.00/300,601.53
  6. Step 6: Final answer
    x = 266,635.71

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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.