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Finding the Fourth Proportional to 408,104.08, 612,219.50 and 208,316.36

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Solution

The fourth proportional to 408,104.08, 612,219.50 and 208,316.36 is: 312,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,104.08 : 612,219.50 = 208,316.36 : x
  2. Step 2: Convert to fraction form
    408,104.08/612,219.50 = 208,316.36/x
  3. Step 3: Cross multiply
    408,104.08x = 612,219.50 × 208,316.36
  4. Step 4: Simplify right side
    408,104.08x = 127,535,339,031.17
  5. Step 5: Solve for x
    x = 127,535,339,031.17/408,104.08
  6. Step 6: Final answer
    x = 312,506.90

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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.