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Finding the Fourth Proportional to 369,096.58, 509,353.30 and 199,330.70

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Solution

The fourth proportional to 369,096.58, 509,353.30 and 199,330.70 is: 275,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,096.58 : 509,353.30 = 199,330.70 : x
  2. Step 2: Convert to fraction form
    369,096.58/509,353.30 = 199,330.70/x
  3. Step 3: Cross multiply
    369,096.58x = 509,353.30 × 199,330.70
  4. Step 4: Simplify right side
    369,096.58x = 101,529,749,836.31
  5. Step 5: Solve for x
    x = 101,529,749,836.31/369,096.58
  6. Step 6: Final answer
    x = 275,076.38

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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.