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Finding the Fourth Proportional to 612,735.30, 919,109.63 and 186,340.47

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Solution

The fourth proportional to 612,735.30, 919,109.63 and 186,340.47 is: 279,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,735.30 : 919,109.63 = 186,340.47 : x
  2. Step 2: Convert to fraction form
    612,735.30/919,109.63 = 186,340.47/x
  3. Step 3: Cross multiply
    612,735.30x = 919,109.63 × 186,340.47
  4. Step 4: Simplify right side
    612,735.30x = 171,267,317,454.92
  5. Step 5: Solve for x
    x = 171,267,317,454.92/612,735.30
  6. Step 6: Final answer
    x = 279,512.73

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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.