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Finding the Fourth Proportional to 446,715.10, 670,072.80 and 162,352.86

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Solution

The fourth proportional to 446,715.10, 670,072.80 and 162,352.86 is: 243,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,715.10 : 670,072.80 = 162,352.86 : x
  2. Step 2: Convert to fraction form
    446,715.10/670,072.80 = 162,352.86/x
  3. Step 3: Cross multiply
    446,715.10x = 670,072.80 × 162,352.86
  4. Step 4: Simplify right side
    446,715.10x = 108,788,233,584.26
  5. Step 5: Solve for x
    x = 108,788,233,584.26/446,715.10
  6. Step 6: Final answer
    x = 243,529.34

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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.