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Finding the Fourth Proportional to 596,564.25, 823,258.80 and 328,292.25

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Solution

The fourth proportional to 596,564.25, 823,258.80 and 328,292.25 is: 453,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,564.25 : 823,258.80 = 328,292.25 : x
  2. Step 2: Convert to fraction form
    596,564.25/823,258.80 = 328,292.25/x
  3. Step 3: Cross multiply
    596,564.25x = 823,258.80 × 328,292.25
  4. Step 4: Simplify right side
    596,564.25x = 270,269,483,784.30
  5. Step 5: Solve for x
    x = 270,269,483,784.30/596,564.25
  6. Step 6: Final answer
    x = 453,043.38

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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.