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Finding the Fourth Proportional to 446,708.24, 670,051.72 and 109,748.28

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Solution

The fourth proportional to 446,708.24, 670,051.72 and 109,748.28 is: 164,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,708.24 : 670,051.72 = 109,748.28 : x
  2. Step 2: Convert to fraction form
    446,708.24/670,051.72 = 109,748.28/x
  3. Step 3: Cross multiply
    446,708.24x = 670,051.72 × 109,748.28
  4. Step 4: Simplify right side
    446,708.24x = 73,537,023,781.04
  5. Step 5: Solve for x
    x = 73,537,023,781.04/446,708.24
  6. Step 6: Final answer
    x = 164,619.81

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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.