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Finding the Fourth Proportional to 217,516.32, 326,403.64 and 117,674.32

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Solution

The fourth proportional to 217,516.32, 326,403.64 and 117,674.32 is: 176,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,516.32 : 326,403.64 = 117,674.32 : x
  2. Step 2: Convert to fraction form
    217,516.32/326,403.64 = 117,674.32/x
  3. Step 3: Cross multiply
    217,516.32x = 326,403.64 × 117,674.32
  4. Step 4: Simplify right side
    217,516.32x = 38,409,326,382.52
  5. Step 5: Solve for x
    x = 38,409,326,382.52/217,516.32
  6. Step 6: Final answer
    x = 176,581.35

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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.