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Finding the Fourth Proportional to 525,191.46, 786,524.24 and 299,868.95

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Solution

The fourth proportional to 525,191.46, 786,524.24 and 299,868.95 is: 449,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,191.46 : 786,524.24 = 299,868.95 : x
  2. Step 2: Convert to fraction form
    525,191.46/786,524.24 = 299,868.95/x
  3. Step 3: Cross multiply
    525,191.46x = 786,524.24 × 299,868.95
  4. Step 4: Simplify right side
    525,191.46x = 235,854,200,714.33
  5. Step 5: Solve for x
    x = 235,854,200,714.33/525,191.46
  6. Step 6: Final answer
    x = 449,082.33

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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.