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Finding the Fourth Proportional to 462,999.40, 693,980.70 and 263,415.40

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Solution

The fourth proportional to 462,999.40, 693,980.70 and 263,415.40 is: 394,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,999.40 : 693,980.70 = 263,415.40 : x
  2. Step 2: Convert to fraction form
    462,999.40/693,980.70 = 263,415.40/x
  3. Step 3: Cross multiply
    462,999.40x = 693,980.70 × 263,415.40
  4. Step 4: Simplify right side
    462,999.40x = 182,805,203,682.78
  5. Step 5: Solve for x
    x = 182,805,203,682.78/462,999.40
  6. Step 6: Final answer
    x = 394,828.17

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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.