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Finding the Fourth Proportional to 311,729.71, 430,186.93 and 168,489.72

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Solution

The fourth proportional to 311,729.71, 430,186.93 and 168,489.72 is: 232,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,729.71 : 430,186.93 = 168,489.72 : x
  2. Step 2: Convert to fraction form
    311,729.71/430,186.93 = 168,489.72/x
  3. Step 3: Cross multiply
    311,729.71x = 430,186.93 × 168,489.72
  4. Step 4: Simplify right side
    311,729.71x = 72,482,073,232.42
  5. Step 5: Solve for x
    x = 72,482,073,232.42/311,729.71
  6. Step 6: Final answer
    x = 232,515.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.