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Finding the Fourth Proportional to 465,281.80, 697,426.46 and 265,171.30

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Solution

The fourth proportional to 465,281.80, 697,426.46 and 265,171.30 is: 397,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,281.80 : 697,426.46 = 265,171.30 : x
  2. Step 2: Convert to fraction form
    465,281.80/697,426.46 = 265,171.30/x
  3. Step 3: Cross multiply
    465,281.80x = 697,426.46 × 265,171.30
  4. Step 4: Simplify right side
    465,281.80x = 184,937,481,052.60
  5. Step 5: Solve for x
    x = 184,937,481,052.60/465,281.80
  6. Step 6: Final answer
    x = 397,474.14

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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.