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Finding the Fourth Proportional to 493,245.52, 680,692.50 and 299,587.84

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Solution

The fourth proportional to 493,245.52, 680,692.50 and 299,587.84 is: 413,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,245.52 : 680,692.50 = 299,587.84 : x
  2. Step 2: Convert to fraction form
    493,245.52/680,692.50 = 299,587.84/x
  3. Step 3: Cross multiply
    493,245.52x = 680,692.50 × 299,587.84
  4. Step 4: Simplify right side
    493,245.52x = 203,927,195,779.20
  5. Step 5: Solve for x
    x = 203,927,195,779.20/493,245.52
  6. Step 6: Final answer
    x = 413,439.53

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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.