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Finding the Fourth Proportional to 410,813.20, 616,853.40 and 224,189.20

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Solution

The fourth proportional to 410,813.20, 616,853.40 and 224,189.20 is: 336,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,813.20 : 616,853.40 = 224,189.20 : x
  2. Step 2: Convert to fraction form
    410,813.20/616,853.40 = 224,189.20/x
  3. Step 3: Cross multiply
    410,813.20x = 616,853.40 × 224,189.20
  4. Step 4: Simplify right side
    410,813.20x = 138,291,870,263.28
  5. Step 5: Solve for x
    x = 138,291,870,263.28/410,813.20
  6. Step 6: Final answer
    x = 336,629.57

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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.