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Finding the Fourth Proportional to 517,306.44, 775,913.52 and 180,289.76

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Solution

The fourth proportional to 517,306.44, 775,913.52 and 180,289.76 is: 270,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,306.44 : 775,913.52 = 180,289.76 : x
  2. Step 2: Convert to fraction form
    517,306.44/775,913.52 = 180,289.76/x
  3. Step 3: Cross multiply
    517,306.44x = 775,913.52 × 180,289.76
  4. Step 4: Simplify right side
    517,306.44x = 139,889,262,301.56
  5. Step 5: Solve for x
    x = 139,889,262,301.56/517,306.44
  6. Step 6: Final answer
    x = 270,418.56

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1.5x scale

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.