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Finding the Fourth Proportional to 321,788,406.40, 482,682,609.60 and 296,594,166.40

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Solution

The fourth proportional to 321,788,406.40, 482,682,609.60 and 296,594,166.40 is: 444,891,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,788,406.40 : 482,682,609.60 = 296,594,166.40 : x
  2. Step 2: Convert to fraction form
    321,788,406.40/482,682,609.60 = 296,594,166.40/x
  3. Step 3: Cross multiply
    321,788,406.40x = 482,682,609.60 × 296,594,166.40
  4. Step 4: Simplify right side
    321,788,406.40x = 143,160,846,230,088,640
  5. Step 5: Solve for x
    x = 143,160,846,230,088,640/321,788,406.40
  6. Step 6: Final answer
    x = 444,891,249.60

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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.