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Finding the Fourth Proportional to 408,071.70, 612,107.55 and 408,071.70

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Solution

The fourth proportional to 408,071.70, 612,107.55 and 408,071.70 is: 612,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,071.70 : 612,107.55 = 408,071.70 : x
  2. Step 2: Convert to fraction form
    408,071.70/612,107.55 = 408,071.70/x
  3. Step 3: Cross multiply
    408,071.70x = 612,107.55 × 408,071.70
  4. Step 4: Simplify right side
    408,071.70x = 249,783,768,511.34
  5. Step 5: Solve for x
    x = 249,783,768,511.34/408,071.70
  6. Step 6: Final answer
    x = 612,107.55

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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.