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Finding the Fourth Proportional to 412,522.29, 618,783.97 and 113,005.50

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Solution

The fourth proportional to 412,522.29, 618,783.97 and 113,005.50 is: 169,508.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,522.29 : 618,783.97 = 113,005.50 : x
  2. Step 2: Convert to fraction form
    412,522.29/618,783.97 = 113,005.50/x
  3. Step 3: Cross multiply
    412,522.29x = 618,783.97 × 113,005.50
  4. Step 4: Simplify right side
    412,522.29x = 69,925,991,639.32
  5. Step 5: Solve for x
    x = 69,925,991,639.32/412,522.29
  6. Step 6: Final answer
    x = 169,508.40

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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.