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Finding the Fourth Proportional to 370,299.92, 511,013.12 and 200,533.52

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Solution

The fourth proportional to 370,299.92, 511,013.12 and 200,533.52 is: 276,735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,299.92 : 511,013.12 = 200,533.52 : x
  2. Step 2: Convert to fraction form
    370,299.92/511,013.12 = 200,533.52/x
  3. Step 3: Cross multiply
    370,299.92x = 511,013.12 × 200,533.52
  4. Step 4: Simplify right side
    370,299.92x = 102,475,259,719.78
  5. Step 5: Solve for x
    x = 102,475,259,719.78/370,299.92
  6. Step 6: Final answer
    x = 276,735.84

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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.