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Finding the Fourth Proportional to 409,047.84, 563,958.32 and 335,185.70

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Solution

The fourth proportional to 409,047.84, 563,958.32 and 335,185.70 is: 462,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,047.84 : 563,958.32 = 335,185.70 : x
  2. Step 2: Convert to fraction form
    409,047.84/563,958.32 = 335,185.70/x
  3. Step 3: Cross multiply
    409,047.84x = 563,958.32 × 335,185.70
  4. Step 4: Simplify right side
    409,047.84x = 189,030,759,764.30
  5. Step 5: Solve for x
    x = 189,030,759,764.30/409,047.84
  6. Step 6: Final answer
    x = 462,123.84

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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.