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Finding the Fourth Proportional to 338,325.85, 507,329.85 and 196,211.53

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Solution

The fourth proportional to 338,325.85, 507,329.85 and 196,211.53 is: 294,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,325.85 : 507,329.85 = 196,211.53 : x
  2. Step 2: Convert to fraction form
    338,325.85/507,329.85 = 196,211.53/x
  3. Step 3: Cross multiply
    338,325.85x = 507,329.85 × 196,211.53
  4. Step 4: Simplify right side
    338,325.85x = 99,543,963,546.52
  5. Step 5: Solve for x
    x = 99,543,963,546.52/338,325.85
  6. Step 6: Final answer
    x = 294,225.12

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Why These Related Problems?

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