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Finding the Fourth Proportional to 597,045.50, 823,911 and 325,116.74

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Solution

The fourth proportional to 597,045.50, 823,911 and 325,116.74 is: 448,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,045.50 : 823,911 = 325,116.74 : x
  2. Step 2: Convert to fraction form
    597,045.50/823,911 = 325,116.74/x
  3. Step 3: Cross multiply
    597,045.50x = 823,911 × 325,116.74
  4. Step 4: Simplify right side
    597,045.50x = 267,867,258,370.14
  5. Step 5: Solve for x
    x = 267,867,258,370.14/597,045.50
  6. Step 6: Final answer
    x = 448,654.68

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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.