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Finding the Fourth Proportional to 307,722.40, 461,648.40 and 97,381.60

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Solution

The fourth proportional to 307,722.40, 461,648.40 and 97,381.60 is: 146,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,722.40 : 461,648.40 = 97,381.60 : x
  2. Step 2: Convert to fraction form
    307,722.40/461,648.40 = 97,381.60/x
  3. Step 3: Cross multiply
    307,722.40x = 461,648.40 × 97,381.60
  4. Step 4: Simplify right side
    307,722.40x = 44,956,059,829.44
  5. Step 5: Solve for x
    x = 44,956,059,829.44/307,722.40
  6. Step 6: Final answer
    x = 146,092.91

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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.