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Finding the Fourth Proportional to 403,013.45, 556,163.19 and 230,928

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Solution

The fourth proportional to 403,013.45, 556,163.19 and 230,928 is: 318,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,013.45 : 556,163.19 = 230,928 : x
  2. Step 2: Convert to fraction form
    403,013.45/556,163.19 = 230,928/x
  3. Step 3: Cross multiply
    403,013.45x = 556,163.19 × 230,928
  4. Step 4: Simplify right side
    403,013.45x = 128,433,653,140.32
  5. Step 5: Solve for x
    x = 128,433,653,140.32/403,013.45
  6. Step 6: Final answer
    x = 318,683.30

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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.