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Finding the Fourth Proportional to 408,511.48, 612,783.70 and 142,298.92

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Solution

The fourth proportional to 408,511.48, 612,783.70 and 142,298.92 is: 213,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,511.48 : 612,783.70 = 142,298.92 : x
  2. Step 2: Convert to fraction form
    408,511.48/612,783.70 = 142,298.92/x
  3. Step 3: Cross multiply
    408,511.48x = 612,783.70 × 142,298.92
  4. Step 4: Simplify right side
    408,511.48x = 87,198,458,703.60
  5. Step 5: Solve for x
    x = 87,198,458,703.60/408,511.48
  6. Step 6: Final answer
    x = 213,454.12

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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.