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Finding the Fourth Proportional to 517,559.40, 775,877.40 and 201,942.90

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Solution

The fourth proportional to 517,559.40, 775,877.40 and 201,942.90 is: 302,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,559.40 : 775,877.40 = 201,942.90 : x
  2. Step 2: Convert to fraction form
    517,559.40/775,877.40 = 201,942.90/x
  3. Step 3: Cross multiply
    517,559.40x = 775,877.40 × 201,942.90
  4. Step 4: Simplify right side
    517,559.40x = 156,682,932,200.46
  5. Step 5: Solve for x
    x = 156,682,932,200.46/517,559.40
  6. Step 6: Final answer
    x = 302,734.20

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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.