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Finding the Fourth Proportional to 693,873.56, 957,705.54 and 451,734.50

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Solution

The fourth proportional to 693,873.56, 957,705.54 and 451,734.50 is: 623,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,873.56 : 957,705.54 = 451,734.50 : x
  2. Step 2: Convert to fraction form
    693,873.56/957,705.54 = 451,734.50/x
  3. Step 3: Cross multiply
    693,873.56x = 957,705.54 × 451,734.50
  4. Step 4: Simplify right side
    693,873.56x = 432,628,633,259.13
  5. Step 5: Solve for x
    x = 432,628,633,259.13/693,873.56
  6. Step 6: Final answer
    x = 623,497.79

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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.