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Finding the Fourth Proportional to 446,818.21, 670,016.70 and 162,308.21

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Solution

The fourth proportional to 446,818.21, 670,016.70 and 162,308.21 is: 243,385.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,818.21 : 670,016.70 = 162,308.21 : x
  2. Step 2: Convert to fraction form
    446,818.21/670,016.70 = 162,308.21/x
  3. Step 3: Cross multiply
    446,818.21x = 670,016.70 × 162,308.21
  4. Step 4: Simplify right side
    446,818.21x = 108,749,207,897.02
  5. Step 5: Solve for x
    x = 108,749,207,897.02/446,818.21
  6. Step 6: Final answer
    x = 243,385.80

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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.