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Finding the Fourth Proportional to 597,052, 823,919.97 and 325,123.12

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Solution

The fourth proportional to 597,052, 823,919.97 and 325,123.12 is: 448,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,052 : 823,919.97 = 325,123.12 : x
  2. Step 2: Convert to fraction form
    597,052/823,919.97 = 325,123.12/x
  3. Step 3: Cross multiply
    597,052x = 823,919.97 × 325,123.12
  4. Step 4: Simplify right side
    597,052x = 267,875,431,276.71
  5. Step 5: Solve for x
    x = 267,875,431,276.71/597,052
  6. Step 6: Final answer
    x = 448,663.49

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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.