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Finding the Fourth Proportional to 262,624.94, 393,933.99 and 120,429.80

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Solution

The fourth proportional to 262,624.94, 393,933.99 and 120,429.80 is: 180,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,624.94 : 393,933.99 = 120,429.80 : x
  2. Step 2: Convert to fraction form
    262,624.94/393,933.99 = 120,429.80/x
  3. Step 3: Cross multiply
    262,624.94x = 393,933.99 × 120,429.80
  4. Step 4: Simplify right side
    262,624.94x = 47,441,391,628.90
  5. Step 5: Solve for x
    x = 47,441,391,628.90/262,624.94
  6. Step 6: Final answer
    x = 180,643.13

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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.