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Finding the Fourth Proportional to 596,810, 823,597.80 and 328,538

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Solution

The fourth proportional to 596,810, 823,597.80 and 328,538 is: 453,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,810 : 823,597.80 = 328,538 : x
  2. Step 2: Convert to fraction form
    596,810/823,597.80 = 328,538/x
  3. Step 3: Cross multiply
    596,810x = 823,597.80 × 328,538
  4. Step 4: Simplify right side
    596,810x = 270,583,174,016.40
  5. Step 5: Solve for x
    x = 270,583,174,016.40/596,810
  6. Step 6: Final answer
    x = 453,382.44

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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.