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Finding the Fourth Proportional to 286,770.92, 430,134.76 and 116,003.48

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Solution

The fourth proportional to 286,770.92, 430,134.76 and 116,003.48 is: 173,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770.92 : 430,134.76 = 116,003.48 : x
  2. Step 2: Convert to fraction form
    286,770.92/430,134.76 = 116,003.48/x
  3. Step 3: Cross multiply
    286,770.92x = 430,134.76 × 116,003.48
  4. Step 4: Simplify right side
    286,770.92x = 49,897,129,028.96
  5. Step 5: Solve for x
    x = 49,897,129,028.96/286,770.92
  6. Step 6: Final answer
    x = 173,996.47

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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.