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Finding the Fourth Proportional to 306,944.34, 460,372.77 and 96,576.81

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Solution

The fourth proportional to 306,944.34, 460,372.77 and 96,576.81 is: 144,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,944.34 : 460,372.77 = 96,576.81 : x
  2. Step 2: Convert to fraction form
    306,944.34/460,372.77 = 96,576.81/x
  3. Step 3: Cross multiply
    306,944.34x = 460,372.77 × 96,576.81
  4. Step 4: Simplify right side
    306,944.34x = 44,461,333,537.46
  5. Step 5: Solve for x
    x = 44,461,333,537.46/306,944.34
  6. Step 6: Final answer
    x = 144,851.45

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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.