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Finding the Fourth Proportional to 408,709.72, 613,057.50 and 183,911.08

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Solution

The fourth proportional to 408,709.72, 613,057.50 and 183,911.08 is: 275,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,709.72 : 613,057.50 = 183,911.08 : x
  2. Step 2: Convert to fraction form
    408,709.72/613,057.50 = 183,911.08/x
  3. Step 3: Cross multiply
    408,709.72x = 613,057.50 × 183,911.08
  4. Step 4: Simplify right side
    408,709.72x = 112,748,066,927.10
  5. Step 5: Solve for x
    x = 112,748,066,927.10/408,709.72
  6. Step 6: Final answer
    x = 275,863.43

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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.