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Finding the Fourth Proportional to 275,719.40, 413,579.10 and 109,507.40

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Solution

The fourth proportional to 275,719.40, 413,579.10 and 109,507.40 is: 164,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,719.40 : 413,579.10 = 109,507.40 : x
  2. Step 2: Convert to fraction form
    275,719.40/413,579.10 = 109,507.40/x
  3. Step 3: Cross multiply
    275,719.40x = 413,579.10 × 109,507.40
  4. Step 4: Simplify right side
    275,719.40x = 45,289,971,935.34
  5. Step 5: Solve for x
    x = 45,289,971,935.34/275,719.40
  6. Step 6: Final answer
    x = 164,261.10

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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.