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Finding the Fourth Proportional to 297,044.64, 445,683.60 and 130,716

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Solution

The fourth proportional to 297,044.64, 445,683.60 and 130,716 is: 196,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,044.64 : 445,683.60 = 130,716 : x
  2. Step 2: Convert to fraction form
    297,044.64/445,683.60 = 130,716/x
  3. Step 3: Cross multiply
    297,044.64x = 445,683.60 × 130,716
  4. Step 4: Simplify right side
    297,044.64x = 58,257,977,457.60
  5. Step 5: Solve for x
    x = 58,257,977,457.60/297,044.64
  6. Step 6: Final answer
    x = 196,125.33

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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.