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Finding the Fourth Proportional to 362,903.94, 500,824.08 and 201,775.50

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Solution

The fourth proportional to 362,903.94, 500,824.08 and 201,775.50 is: 278,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,903.94 : 500,824.08 = 201,775.50 : x
  2. Step 2: Convert to fraction form
    362,903.94/500,824.08 = 201,775.50/x
  3. Step 3: Cross multiply
    362,903.94x = 500,824.08 × 201,775.50
  4. Step 4: Simplify right side
    362,903.94x = 101,054,029,154.04
  5. Step 5: Solve for x
    x = 101,054,029,154.04/362,903.94
  6. Step 6: Final answer
    x = 278,459.44

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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.