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Finding the Fourth Proportional to 338,325.74, 507,329.68 and 196,211.40

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Solution

The fourth proportional to 338,325.74, 507,329.68 and 196,211.40 is: 294,224.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,325.74 : 507,329.68 = 196,211.40 : x
  2. Step 2: Convert to fraction form
    338,325.74/507,329.68 = 196,211.40/x
  3. Step 3: Cross multiply
    338,325.74x = 507,329.68 × 196,211.40
  4. Step 4: Simplify right side
    338,325.74x = 99,543,866,774.35
  5. Step 5: Solve for x
    x = 99,543,866,774.35/338,325.74
  6. Step 6: Final answer
    x = 294,224.93

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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.