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Finding the Fourth Proportional to 685,745.66, 1,028,782.66 and 286,164.12

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Solution

The fourth proportional to 685,745.66, 1,028,782.66 and 286,164.12 is: 429,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,745.66 : 1,028,782.66 = 286,164.12 : x
  2. Step 2: Convert to fraction form
    685,745.66/1,028,782.66 = 286,164.12/x
  3. Step 3: Cross multiply
    685,745.66x = 1,028,782.66 × 286,164.12
  4. Step 4: Simplify right side
    685,745.66x = 294,400,684,570.16
  5. Step 5: Solve for x
    x = 294,400,684,570.16/685,745.66
  6. Step 6: Final answer
    x = 429,314.69

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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.