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Finding the Fourth Proportional to 362,945, 500,840.38 and 201,794.10

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Solution

The fourth proportional to 362,945, 500,840.38 and 201,794.10 is: 278,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,945 : 500,840.38 = 201,794.10 : x
  2. Step 2: Convert to fraction form
    362,945/500,840.38 = 201,794.10/x
  3. Step 3: Cross multiply
    362,945x = 500,840.38 × 201,794.10
  4. Step 4: Simplify right side
    362,945x = 101,066,633,725.76
  5. Step 5: Solve for x
    x = 101,066,633,725.76/362,945
  6. Step 6: Final answer
    x = 278,462.67

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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.