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Finding the Fourth Proportional to 321,818.74, 444,085.23 and 185,790.58

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Solution

The fourth proportional to 321,818.74, 444,085.23 and 185,790.58 is: 256,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,818.74 : 444,085.23 = 185,790.58 : x
  2. Step 2: Convert to fraction form
    321,818.74/444,085.23 = 185,790.58/x
  3. Step 3: Cross multiply
    321,818.74x = 444,085.23 × 185,790.58
  4. Step 4: Simplify right side
    321,818.74x = 82,506,852,037.64
  5. Step 5: Solve for x
    x = 82,506,852,037.64/321,818.74
  6. Step 6: Final answer
    x = 256,376.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.