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Finding the Fourth Proportional to 362,458.12, 500,178.37 and 201,323.50

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Solution

The fourth proportional to 362,458.12, 500,178.37 and 201,323.50 is: 277,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,458.12 : 500,178.37 = 201,323.50 : x
  2. Step 2: Convert to fraction form
    362,458.12/500,178.37 = 201,323.50/x
  3. Step 3: Cross multiply
    362,458.12x = 500,178.37 × 201,323.50
  4. Step 4: Simplify right side
    362,458.12x = 100,697,660,194.61
  5. Step 5: Solve for x
    x = 100,697,660,194.61/362,458.12
  6. Step 6: Final answer
    x = 277,818.75

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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.