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Finding the Fourth Proportional to 464,912.40, 696,056.40 and 451,790.40

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Solution

The fourth proportional to 464,912.40, 696,056.40 and 451,790.40 is: 676,410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,912.40 : 696,056.40 = 451,790.40 : x
  2. Step 2: Convert to fraction form
    464,912.40/696,056.40 = 451,790.40/x
  3. Step 3: Cross multiply
    464,912.40x = 696,056.40 × 451,790.40
  4. Step 4: Simplify right side
    464,912.40x = 314,471,599,378.56
  5. Step 5: Solve for x
    x = 314,471,599,378.56/464,912.40
  6. Step 6: Final answer
    x = 676,410.44

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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.