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Finding the Fourth Proportional to 596,471, 823,129.98 and 328,199

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Solution

The fourth proportional to 596,471, 823,129.98 and 328,199 is: 452,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,471 : 823,129.98 = 328,199 : x
  2. Step 2: Convert to fraction form
    596,471/823,129.98 = 328,199/x
  3. Step 3: Cross multiply
    596,471x = 823,129.98 × 328,199
  4. Step 4: Simplify right side
    596,471x = 270,150,436,306.02
  5. Step 5: Solve for x
    x = 270,150,436,306.02/596,471
  6. Step 6: Final answer
    x = 452,914.62

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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.