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Finding the Fourth Proportional to 494,665.60, 741,752.70 and 157,662.40

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Solution

The fourth proportional to 494,665.60, 741,752.70 and 157,662.40 is: 236,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,665.60 : 741,752.70 = 157,662.40 : x
  2. Step 2: Convert to fraction form
    494,665.60/741,752.70 = 157,662.40/x
  3. Step 3: Cross multiply
    494,665.60x = 741,752.70 × 157,662.40
  4. Step 4: Simplify right side
    494,665.60x = 116,946,510,888.48
  5. Step 5: Solve for x
    x = 116,946,510,888.48/494,665.60
  6. Step 6: Final answer
    x = 236,415.29

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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.