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Finding the Fourth Proportional to 468,025.96, 700,922.94 and 299,014.60

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Solution

The fourth proportional to 468,025.96, 700,922.94 and 299,014.60 is: 447,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,025.96 : 700,922.94 = 299,014.60 : x
  2. Step 2: Convert to fraction form
    468,025.96/700,922.94 = 299,014.60/x
  3. Step 3: Cross multiply
    468,025.96x = 700,922.94 × 299,014.60
  4. Step 4: Simplify right side
    468,025.96x = 209,586,192,534.92
  5. Step 5: Solve for x
    x = 209,586,192,534.92/468,025.96
  6. Step 6: Final answer
    x = 447,808.90

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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.