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Finding the Fourth Proportional to 596,475, 823,135.50 and 328,203

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Solution

The fourth proportional to 596,475, 823,135.50 and 328,203 is: 452,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,475 : 823,135.50 = 328,203 : x
  2. Step 2: Convert to fraction form
    596,475/823,135.50 = 328,203/x
  3. Step 3: Cross multiply
    596,475x = 823,135.50 × 328,203
  4. Step 4: Simplify right side
    596,475x = 270,155,540,506.50
  5. Step 5: Solve for x
    x = 270,155,540,506.50/596,475
  6. Step 6: Final answer
    x = 452,920.14

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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.