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Finding the Fourth Proportional to 596,567, 823,264.08 and 328,295

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Solution

The fourth proportional to 596,567, 823,264.08 and 328,295 is: 453,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,567 : 823,264.08 = 328,295 : x
  2. Step 2: Convert to fraction form
    596,567/823,264.08 = 328,295/x
  3. Step 3: Cross multiply
    596,567x = 823,264.08 × 328,295
  4. Step 4: Simplify right side
    596,567x = 270,273,481,143.60
  5. Step 5: Solve for x
    x = 270,273,481,143.60/596,567
  6. Step 6: Final answer
    x = 453,047.99

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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.