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Finding the Fourth Proportional to 407,138.34, 610,749.41 and 140,898.45

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Solution

The fourth proportional to 407,138.34, 610,749.41 and 140,898.45 is: 211,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,138.34 : 610,749.41 = 140,898.45 : x
  2. Step 2: Convert to fraction form
    407,138.34/610,749.41 = 140,898.45/x
  3. Step 3: Cross multiply
    407,138.34x = 610,749.41 × 140,898.45
  4. Step 4: Simplify right side
    407,138.34x = 86,053,644,502.92
  5. Step 5: Solve for x
    x = 86,053,644,502.92/407,138.34
  6. Step 6: Final answer
    x = 211,362.17

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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.