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Finding the Fourth Proportional to 598,097.78, 825,364.59 and 326,167.82

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Solution

The fourth proportional to 598,097.78, 825,364.59 and 326,167.82 is: 450,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,097.78 : 825,364.59 = 326,167.82 : x
  2. Step 2: Convert to fraction form
    598,097.78/825,364.59 = 326,167.82/x
  3. Step 3: Cross multiply
    598,097.78x = 825,364.59 × 326,167.82
  4. Step 4: Simplify right side
    598,097.78x = 269,207,369,025.49
  5. Step 5: Solve for x
    x = 269,207,369,025.49/598,097.78
  6. Step 6: Final answer
    x = 450,105.95

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1.5x scale

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.