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Finding the Fourth Proportional to 412,104.80, 617,696.40 and 175,407.20

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Solution

The fourth proportional to 412,104.80, 617,696.40 and 175,407.20 is: 262,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,104.80 : 617,696.40 = 175,407.20 : x
  2. Step 2: Convert to fraction form
    412,104.80/617,696.40 = 175,407.20/x
  3. Step 3: Cross multiply
    412,104.80x = 617,696.40 × 175,407.20
  4. Step 4: Simplify right side
    412,104.80x = 108,348,395,974.08
  5. Step 5: Solve for x
    x = 108,348,395,974.08/412,104.80
  6. Step 6: Final answer
    x = 262,914.67

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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.