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Finding the Fourth Proportional to 362,658.43, 500,458.74 and 201,509.35

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Solution

The fourth proportional to 362,658.43, 500,458.74 and 201,509.35 is: 278,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,658.43 : 500,458.74 = 201,509.35 : x
  2. Step 2: Convert to fraction form
    362,658.43/500,458.74 = 201,509.35/x
  3. Step 3: Cross multiply
    362,658.43x = 500,458.74 × 201,509.35
  4. Step 4: Simplify right side
    362,658.43x = 100,847,115,399.22
  5. Step 5: Solve for x
    x = 100,847,115,399.22/362,658.43
  6. Step 6: Final answer
    x = 278,077.41

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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.