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Finding the Fourth Proportional to 409,460.98, 565,057.33 and 237,412.34

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Solution

The fourth proportional to 409,460.98, 565,057.33 and 237,412.34 is: 327,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460.98 : 565,057.33 = 237,412.34 : x
  2. Step 2: Convert to fraction form
    409,460.98/565,057.33 = 237,412.34/x
  3. Step 3: Cross multiply
    409,460.98x = 565,057.33 × 237,412.34
  4. Step 4: Simplify right side
    409,460.98x = 134,151,582,949.45
  5. Step 5: Solve for x
    x = 134,151,582,949.45/409,460.98
  6. Step 6: Final answer
    x = 327,629.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.