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Finding the Fourth Proportional to 699,725.36, 965,918.93 and 470,415.65

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Solution

The fourth proportional to 699,725.36, 965,918.93 and 470,415.65 is: 649,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,725.36 : 965,918.93 = 470,415.65 : x
  2. Step 2: Convert to fraction form
    699,725.36/965,918.93 = 470,415.65/x
  3. Step 3: Cross multiply
    699,725.36x = 965,918.93 × 470,415.65
  4. Step 4: Simplify right side
    699,725.36x = 454,383,374,121.58
  5. Step 5: Solve for x
    x = 454,383,374,121.58/699,725.36
  6. Step 6: Final answer
    x = 649,373.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.