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Finding the Fourth Proportional to 286,878.57, 430,306.83 and 76,514.67

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Solution

The fourth proportional to 286,878.57, 430,306.83 and 76,514.67 is: 114,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,878.57 : 430,306.83 = 76,514.67 : x
  2. Step 2: Convert to fraction form
    286,878.57/430,306.83 = 76,514.67/x
  3. Step 3: Cross multiply
    286,878.57x = 430,306.83 × 76,514.67
  4. Step 4: Simplify right side
    286,878.57x = 32,924,785,096.20
  5. Step 5: Solve for x
    x = 32,924,785,096.20/286,878.57
  6. Step 6: Final answer
    x = 114,769.06

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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.