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Finding the Fourth Proportional to 596,601, 823,311 and 328,329

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Solution

The fourth proportional to 596,601, 823,311 and 328,329 is: 453,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,601 : 823,311 = 328,329 : x
  2. Step 2: Convert to fraction form
    596,601/823,311 = 328,329/x
  3. Step 3: Cross multiply
    596,601x = 823,311 × 328,329
  4. Step 4: Simplify right side
    596,601x = 270,316,877,319
  5. Step 5: Solve for x
    x = 270,316,877,319/596,601
  6. Step 6: Final answer
    x = 453,094.91

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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.