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Finding the Fourth Proportional to 517,093.32, 775,179.36 and 201,478.44

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Solution

The fourth proportional to 517,093.32, 775,179.36 and 201,478.44 is: 302,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,093.32 : 775,179.36 = 201,478.44 : x
  2. Step 2: Convert to fraction form
    517,093.32/775,179.36 = 201,478.44/x
  3. Step 3: Cross multiply
    517,093.32x = 775,179.36 × 201,478.44
  4. Step 4: Simplify right side
    517,093.32x = 156,181,928,173.00
  5. Step 5: Solve for x
    x = 156,181,928,173.00/517,093.32
  6. Step 6: Final answer
    x = 302,038.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.