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Finding the Fourth Proportional to 307,401.60, 461,063.52 and 97,060.80

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Solution

The fourth proportional to 307,401.60, 461,063.52 and 97,060.80 is: 145,578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,401.60 : 461,063.52 = 97,060.80 : x
  2. Step 2: Convert to fraction form
    307,401.60/461,063.52 = 97,060.80/x
  3. Step 3: Cross multiply
    307,401.60x = 461,063.52 × 97,060.80
  4. Step 4: Simplify right side
    307,401.60x = 44,751,194,102.02
  5. Step 5: Solve for x
    x = 44,751,194,102.02/307,401.60
  6. Step 6: Final answer
    x = 145,578.92

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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.