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Finding the Fourth Proportional to 362,177.52, 499,804.12 and 201,034.50

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Solution

The fourth proportional to 362,177.52, 499,804.12 and 201,034.50 is: 277,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,177.52 : 499,804.12 = 201,034.50 : x
  2. Step 2: Convert to fraction form
    362,177.52/499,804.12 = 201,034.50/x
  3. Step 3: Cross multiply
    362,177.52x = 499,804.12 × 201,034.50
  4. Step 4: Simplify right side
    362,177.52x = 100,477,871,362.14
  5. Step 5: Solve for x
    x = 100,477,871,362.14/362,177.52
  6. Step 6: Final answer
    x = 277,427.13

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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.