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Finding the Fourth Proportional to 549,022.97, 823,676.43 and 321,510.71

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Solution

The fourth proportional to 549,022.97, 823,676.43 and 321,510.71 is: 482,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,022.97 : 823,676.43 = 321,510.71 : x
  2. Step 2: Convert to fraction form
    549,022.97/823,676.43 = 321,510.71/x
  3. Step 3: Cross multiply
    549,022.97x = 823,676.43 × 321,510.71
  4. Step 4: Simplify right side
    549,022.97x = 264,820,789,701.18
  5. Step 5: Solve for x
    x = 264,820,789,701.18/549,022.97
  6. Step 6: Final answer
    x = 482,349.20

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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.