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Finding the Fourth Proportional to 412,522.32, 618,783.96 and 113,005.46

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Solution

The fourth proportional to 412,522.32, 618,783.96 and 113,005.46 is: 169,508.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,522.32 : 618,783.96 = 113,005.46 : x
  2. Step 2: Convert to fraction form
    412,522.32/618,783.96 = 113,005.46/x
  3. Step 3: Cross multiply
    412,522.32x = 618,783.96 × 113,005.46
  4. Step 4: Simplify right side
    412,522.32x = 69,925,966,040.42
  5. Step 5: Solve for x
    x = 69,925,966,040.42/412,522.32
  6. Step 6: Final answer
    x = 169,508.32

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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.