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Finding the Fourth Proportional to 446,833.76, 670,244.84 and 109,877.36

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Solution

The fourth proportional to 446,833.76, 670,244.84 and 109,877.36 is: 164,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,833.76 : 670,244.84 = 109,877.36 : x
  2. Step 2: Convert to fraction form
    446,833.76/670,244.84 = 109,877.36/x
  3. Step 3: Cross multiply
    446,833.76x = 670,244.84 × 109,877.36
  4. Step 4: Simplify right side
    446,833.76x = 73,644,733,572.82
  5. Step 5: Solve for x
    x = 73,644,733,572.82/446,833.76
  6. Step 6: Final answer
    x = 164,814.61

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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.