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Finding the Fourth Proportional to 514,906.60, 771,899.10 and 199,258.60

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Solution

The fourth proportional to 514,906.60, 771,899.10 and 199,258.60 is: 298,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,906.60 : 771,899.10 = 199,258.60 : x
  2. Step 2: Convert to fraction form
    514,906.60/771,899.10 = 199,258.60/x
  3. Step 3: Cross multiply
    514,906.60x = 771,899.10 × 199,258.60
  4. Step 4: Simplify right side
    514,906.60x = 153,807,534,007.26
  5. Step 5: Solve for x
    x = 153,807,534,007.26/514,906.60
  6. Step 6: Final answer
    x = 298,709.58

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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.