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Finding the Fourth Proportional to 521,538.46, 719,599.70 and 295,183.96

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Solution

The fourth proportional to 521,538.46, 719,599.70 and 295,183.96 is: 407,284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,538.46 : 719,599.70 = 295,183.96 : x
  2. Step 2: Convert to fraction form
    521,538.46/719,599.70 = 295,183.96/x
  3. Step 3: Cross multiply
    521,538.46x = 719,599.70 × 295,183.96
  4. Step 4: Simplify right side
    521,538.46x = 212,414,287,999.77
  5. Step 5: Solve for x
    x = 212,414,287,999.77/521,538.46
  6. Step 6: Final answer
    x = 407,284.04

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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.