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Finding the Fourth Proportional to 597,051, 823,930.38 and 328,779

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Solution

The fourth proportional to 597,051, 823,930.38 and 328,779 is: 453,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,051 : 823,930.38 = 328,779 : x
  2. Step 2: Convert to fraction form
    597,051/823,930.38 = 328,779/x
  3. Step 3: Cross multiply
    597,051x = 823,930.38 × 328,779
  4. Step 4: Simplify right side
    597,051x = 270,891,006,406.02
  5. Step 5: Solve for x
    x = 270,891,006,406.02/597,051
  6. Step 6: Final answer
    x = 453,715.02

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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.