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Finding the Fourth Proportional to 293,457.20, 439,991.40 and 106,444.40

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Solution

The fourth proportional to 293,457.20, 439,991.40 and 106,444.40 is: 159,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,457.20 : 439,991.40 = 106,444.40 : x
  2. Step 2: Convert to fraction form
    293,457.20/439,991.40 = 106,444.40/x
  3. Step 3: Cross multiply
    293,457.20x = 439,991.40 × 106,444.40
  4. Step 4: Simplify right side
    293,457.20x = 46,834,620,578.16
  5. Step 5: Solve for x
    x = 46,834,620,578.16/293,457.20
  6. Step 6: Final answer
    x = 159,596.09

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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.