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Finding the Fourth Proportional to 435,346.56, 653,023.08 and 119,820.84

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Solution

The fourth proportional to 435,346.56, 653,023.08 and 119,820.84 is: 179,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,346.56 : 653,023.08 = 119,820.84 : x
  2. Step 2: Convert to fraction form
    435,346.56/653,023.08 = 119,820.84/x
  3. Step 3: Cross multiply
    435,346.56x = 653,023.08 × 119,820.84
  4. Step 4: Simplify right side
    435,346.56x = 78,245,773,984.99
  5. Step 5: Solve for x
    x = 78,245,773,984.99/435,346.56
  6. Step 6: Final answer
    x = 179,732.15

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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.