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Finding the Fourth Proportional to 517,459.93, 775,908.16 and 180,409.97

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Solution

The fourth proportional to 517,459.93, 775,908.16 and 180,409.97 is: 270,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,459.93 : 775,908.16 = 180,409.97 : x
  2. Step 2: Convert to fraction form
    517,459.93/775,908.16 = 180,409.97/x
  3. Step 3: Cross multiply
    517,459.93x = 775,908.16 × 180,409.97
  4. Step 4: Simplify right side
    517,459.93x = 139,981,566,007.42
  5. Step 5: Solve for x
    x = 139,981,566,007.42/517,459.93
  6. Step 6: Final answer
    x = 270,516.73

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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.