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Finding the Fourth Proportional to 309,078.56, 463,916.76 and 149,266.52

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Solution

The fourth proportional to 309,078.56, 463,916.76 and 149,266.52 is: 224,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,078.56 : 463,916.76 = 149,266.52 : x
  2. Step 2: Convert to fraction form
    309,078.56/463,916.76 = 149,266.52/x
  3. Step 3: Cross multiply
    309,078.56x = 463,916.76 × 149,266.52
  4. Step 4: Simplify right side
    309,078.56x = 69,247,240,334.88
  5. Step 5: Solve for x
    x = 69,247,240,334.88/309,078.56
  6. Step 6: Final answer
    x = 224,044.14

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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.