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Finding the Fourth Proportional to 456,099, 683,858.67 and 400,051.65

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Solution

The fourth proportional to 456,099, 683,858.67 and 400,051.65 is: 599,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,099 : 683,858.67 = 400,051.65 : x
  2. Step 2: Convert to fraction form
    456,099/683,858.67 = 400,051.65/x
  3. Step 3: Cross multiply
    456,099x = 683,858.67 × 400,051.65
  4. Step 4: Simplify right side
    456,099x = 273,578,789,300.31
  5. Step 5: Solve for x
    x = 273,578,789,300.31/456,099
  6. Step 6: Final answer
    x = 599,823.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.