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Finding the Fourth Proportional to 597,201, 824,137.38 and 328,929

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Solution

The fourth proportional to 597,201, 824,137.38 and 328,929 is: 453,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,201 : 824,137.38 = 328,929 : x
  2. Step 2: Convert to fraction form
    597,201/824,137.38 = 328,929/x
  3. Step 3: Cross multiply
    597,201x = 824,137.38 × 328,929
  4. Step 4: Simplify right side
    597,201x = 271,082,684,266.02
  5. Step 5: Solve for x
    x = 271,082,684,266.02/597,201
  6. Step 6: Final answer
    x = 453,922.02

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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.