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Finding the Fourth Proportional to 362,164.16, 499,779.42 and 201,021.14

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Solution

The fourth proportional to 362,164.16, 499,779.42 and 201,021.14 is: 277,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,164.16 : 499,779.42 = 201,021.14 : x
  2. Step 2: Convert to fraction form
    362,164.16/499,779.42 = 201,021.14/x
  3. Step 3: Cross multiply
    362,164.16x = 499,779.42 × 201,021.14
  4. Step 4: Simplify right side
    362,164.16x = 100,466,228,756.94
  5. Step 5: Solve for x
    x = 100,466,228,756.94/362,164.16
  6. Step 6: Final answer
    x = 277,405.22

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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.