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Finding the Fourth Proportional to 347,896, 480,096.48 and 197,022.16

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Solution

The fourth proportional to 347,896, 480,096.48 and 197,022.16 is: 271,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,896 : 480,096.48 = 197,022.16 : x
  2. Step 2: Convert to fraction form
    347,896/480,096.48 = 197,022.16/x
  3. Step 3: Cross multiply
    347,896x = 480,096.48 × 197,022.16
  4. Step 4: Simplify right side
    347,896x = 94,589,645,498.00
  5. Step 5: Solve for x
    x = 94,589,645,498.00/347,896
  6. Step 6: Final answer
    x = 271,890.58

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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.