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Finding the Fourth Proportional to 346,578.75, 519,917.70 and 106,712.94

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Solution

The fourth proportional to 346,578.75, 519,917.70 and 106,712.94 is: 160,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,578.75 : 519,917.70 = 106,712.94 : x
  2. Step 2: Convert to fraction form
    346,578.75/519,917.70 = 106,712.94/x
  3. Step 3: Cross multiply
    346,578.75x = 519,917.70 × 106,712.94
  4. Step 4: Simplify right side
    346,578.75x = 55,481,946,325.04
  5. Step 5: Solve for x
    x = 55,481,946,325.04/346,578.75
  6. Step 6: Final answer
    x = 160,084.67

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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.