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Finding the Fourth Proportional to 596,472, 823,131.36 and 328,200

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Solution

The fourth proportional to 596,472, 823,131.36 and 328,200 is: 452,916

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,472 : 823,131.36 = 328,200 : x
  2. Step 2: Convert to fraction form
    596,472/823,131.36 = 328,200/x
  3. Step 3: Cross multiply
    596,472x = 823,131.36 × 328,200
  4. Step 4: Simplify right side
    596,472x = 270,151,712,352
  5. Step 5: Solve for x
    x = 270,151,712,352/596,472
  6. Step 6: Final answer
    x = 452,916

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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.