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Finding the Fourth Proportional to 465,135.40, 697,694.94 and 265,029.04

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Solution

The fourth proportional to 465,135.40, 697,694.94 and 265,029.04 is: 397,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,135.40 : 697,694.94 = 265,029.04 : x
  2. Step 2: Convert to fraction form
    465,135.40/697,694.94 = 265,029.04/x
  3. Step 3: Cross multiply
    465,135.40x = 697,694.94 × 265,029.04
  4. Step 4: Simplify right side
    465,135.40x = 184,909,420,161.06
  5. Step 5: Solve for x
    x = 184,909,420,161.06/465,135.40
  6. Step 6: Final answer
    x = 397,538.91

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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.