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Finding the Fourth Proportional to 594,952, 821,033.78 and 326,680

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Solution

The fourth proportional to 594,952, 821,033.78 and 326,680 is: 450,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,952 : 821,033.78 = 326,680 : x
  2. Step 2: Convert to fraction form
    594,952/821,033.78 = 326,680/x
  3. Step 3: Cross multiply
    594,952x = 821,033.78 × 326,680
  4. Step 4: Simplify right side
    594,952x = 268,215,315,250.40
  5. Step 5: Solve for x
    x = 268,215,315,250.40/594,952
  6. Step 6: Final answer
    x = 450,818.41

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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.