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Finding the Fourth Proportional to 597,242, 824,193.96 and 328,970

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Solution

The fourth proportional to 597,242, 824,193.96 and 328,970 is: 453,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,242 : 824,193.96 = 328,970 : x
  2. Step 2: Convert to fraction form
    597,242/824,193.96 = 328,970/x
  3. Step 3: Cross multiply
    597,242x = 824,193.96 × 328,970
  4. Step 4: Simplify right side
    597,242x = 271,135,087,021.20
  5. Step 5: Solve for x
    x = 271,135,087,021.20/597,242
  6. Step 6: Final answer
    x = 453,978.60

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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.