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Finding the Fourth Proportional to 973,157, 1,459,258.11 and 568,450.82

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Solution

The fourth proportional to 973,157, 1,459,258.11 and 568,450.82 is: 852,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,157 : 1,459,258.11 = 568,450.82 : x
  2. Step 2: Convert to fraction form
    973,157/1,459,258.11 = 568,450.82/x
  3. Step 3: Cross multiply
    973,157x = 1,459,258.11 × 568,450.82
  4. Step 4: Simplify right side
    973,157x = 829,516,469,221.15
  5. Step 5: Solve for x
    x = 829,516,469,221.15/973,157
  6. Step 6: Final answer
    x = 852,397.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.