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Finding the Fourth Proportional to 275,688.10, 413,313.45 and 151,029.10

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Solution

The fourth proportional to 275,688.10, 413,313.45 and 151,029.10 is: 226,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,688.10 : 413,313.45 = 151,029.10 : x
  2. Step 2: Convert to fraction form
    275,688.10/413,313.45 = 151,029.10/x
  3. Step 3: Cross multiply
    275,688.10x = 413,313.45 × 151,029.10
  4. Step 4: Simplify right side
    275,688.10x = 62,422,358,371.40
  5. Step 5: Solve for x
    x = 62,422,358,371.40/275,688.10
  6. Step 6: Final answer
    x = 226,423.84

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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.