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Finding the Fourth Proportional to 296,558.84, 444,746.26 and 106,994.58

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Solution

The fourth proportional to 296,558.84, 444,746.26 and 106,994.58 is: 160,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,558.84 : 444,746.26 = 106,994.58 : x
  2. Step 2: Convert to fraction form
    296,558.84/444,746.26 = 106,994.58/x
  3. Step 3: Cross multiply
    296,558.84x = 444,746.26 × 106,994.58
  4. Step 4: Simplify right side
    296,558.84x = 47,585,439,295.27
  5. Step 5: Solve for x
    x = 47,585,439,295.27/296,558.84
  6. Step 6: Final answer
    x = 160,458.68

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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.