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Finding the Fourth Proportional to 321,854.83, 444,056.92 and 185,870.81

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Solution

The fourth proportional to 321,854.83, 444,056.92 and 185,870.81 is: 256,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,854.83 : 444,056.92 = 185,870.81 : x
  2. Step 2: Convert to fraction form
    321,854.83/444,056.92 = 185,870.81/x
  3. Step 3: Cross multiply
    321,854.83x = 444,056.92 × 185,870.81
  4. Step 4: Simplify right side
    321,854.83x = 82,537,220,051.97
  5. Step 5: Solve for x
    x = 82,537,220,051.97/321,854.83
  6. Step 6: Final answer
    x = 256,442.39

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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.