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Finding the Fourth Proportional to 346,876.46, 520,419.48 and 164,647.11

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Solution

The fourth proportional to 346,876.46, 520,419.48 and 164,647.11 is: 247,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,876.46 : 520,419.48 = 164,647.11 : x
  2. Step 2: Convert to fraction form
    346,876.46/520,419.48 = 164,647.11/x
  3. Step 3: Cross multiply
    346,876.46x = 520,419.48 × 164,647.11
  4. Step 4: Simplify right side
    346,876.46x = 85,685,562,546.47
  5. Step 5: Solve for x
    x = 85,685,562,546.47/346,876.46
  6. Step 6: Final answer
    x = 247,020.41

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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.