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Finding the Fourth Proportional to 362,169.44, 499,784.28 and 201,024.08

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Solution

The fourth proportional to 362,169.44, 499,784.28 and 201,024.08 is: 277,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,169.44 : 499,784.28 = 201,024.08 : x
  2. Step 2: Convert to fraction form
    362,169.44/499,784.28 = 201,024.08/x
  3. Step 3: Cross multiply
    362,169.44x = 499,784.28 × 201,024.08
  4. Step 4: Simplify right side
    362,169.44x = 100,468,675,085.46
  5. Step 5: Solve for x
    x = 100,468,675,085.46/362,169.44
  6. Step 6: Final answer
    x = 277,407.93

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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.