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Finding the Fourth Proportional to 362,911.96, 500,835.12 and 201,783.52

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Solution

The fourth proportional to 362,911.96, 500,835.12 and 201,783.52 is: 278,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,911.96 : 500,835.12 = 201,783.52 : x
  2. Step 2: Convert to fraction form
    362,911.96/500,835.12 = 201,783.52/x
  3. Step 3: Cross multiply
    362,911.96x = 500,835.12 × 201,783.52
  4. Step 4: Simplify right side
    362,911.96x = 101,060,273,453.22
  5. Step 5: Solve for x
    x = 101,060,273,453.22/362,911.96
  6. Step 6: Final answer
    x = 278,470.50

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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.