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Finding the Fourth Proportional to 408,583.92, 612,873.88 and 104,977.84

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Solution

The fourth proportional to 408,583.92, 612,873.88 and 104,977.84 is: 157,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,583.92 : 612,873.88 = 104,977.84 : x
  2. Step 2: Convert to fraction form
    408,583.92/612,873.88 = 104,977.84/x
  3. Step 3: Cross multiply
    408,583.92x = 612,873.88 × 104,977.84
  4. Step 4: Simplify right side
    408,583.92x = 64,338,176,114.82
  5. Step 5: Solve for x
    x = 64,338,176,114.82/408,583.92
  6. Step 6: Final answer
    x = 157,466.25

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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.