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Finding the Fourth Proportional to 307,819.40, 461,772.30 and 97,435.40

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Solution

The fourth proportional to 307,819.40, 461,772.30 and 97,435.40 is: 146,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,819.40 : 461,772.30 = 97,435.40 : x
  2. Step 2: Convert to fraction form
    307,819.40/461,772.30 = 97,435.40/x
  3. Step 3: Cross multiply
    307,819.40x = 461,772.30 × 97,435.40
  4. Step 4: Simplify right side
    307,819.40x = 44,992,968,759.42
  5. Step 5: Solve for x
    x = 44,992,968,759.42/307,819.40
  6. Step 6: Final answer
    x = 146,166.77

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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.