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Finding the Fourth Proportional to 307,506.58, 460,429.15 and 159,451.54

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Solution

The fourth proportional to 307,506.58, 460,429.15 and 159,451.54 is: 238,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,506.58 : 460,429.15 = 159,451.54 : x
  2. Step 2: Convert to fraction form
    307,506.58/460,429.15 = 159,451.54/x
  3. Step 3: Cross multiply
    307,506.58x = 460,429.15 × 159,451.54
  4. Step 4: Simplify right side
    307,506.58x = 73,416,137,028.39
  5. Step 5: Solve for x
    x = 73,416,137,028.39/307,506.58
  6. Step 6: Final answer
    x = 238,746.56

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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.