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Finding the Fourth Proportional to 307,466.63, 460,766.41 and 145,187.53

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Solution

The fourth proportional to 307,466.63, 460,766.41 and 145,187.53 is: 217,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,466.63 : 460,766.41 = 145,187.53 : x
  2. Step 2: Convert to fraction form
    307,466.63/460,766.41 = 145,187.53/x
  3. Step 3: Cross multiply
    307,466.63x = 460,766.41 × 145,187.53
  4. Step 4: Simplify right side
    307,466.63x = 66,897,534,671.04
  5. Step 5: Solve for x
    x = 66,897,534,671.04/307,466.63
  6. Step 6: Final answer
    x = 217,576.57

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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.