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Finding the Fourth Proportional to 311,920.50, 430,450.32 and 168,680.58

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Solution

The fourth proportional to 311,920.50, 430,450.32 and 168,680.58 is: 232,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,920.50 : 430,450.32 = 168,680.58 : x
  2. Step 2: Convert to fraction form
    311,920.50/430,450.32 = 168,680.58/x
  3. Step 3: Cross multiply
    311,920.50x = 430,450.32 × 168,680.58
  4. Step 4: Simplify right side
    311,920.50x = 72,608,609,638.79
  5. Step 5: Solve for x
    x = 72,608,609,638.79/311,920.50
  6. Step 6: Final answer
    x = 232,779.22

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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.