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Finding the Fourth Proportional to 462,878.60, 694,145.10 and 322,219.40

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Solution

The fourth proportional to 462,878.60, 694,145.10 and 322,219.40 is: 483,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,878.60 : 694,145.10 = 322,219.40 : x
  2. Step 2: Convert to fraction form
    462,878.60/694,145.10 = 322,219.40/x
  3. Step 3: Cross multiply
    462,878.60x = 694,145.10 × 322,219.40
  4. Step 4: Simplify right side
    462,878.60x = 223,667,017,634.94
  5. Step 5: Solve for x
    x = 223,667,017,634.94/462,878.60
  6. Step 6: Final answer
    x = 483,208.81

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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.