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Finding the Fourth Proportional to 293,216.43, 439,832.84 and 103,650

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Solution

The fourth proportional to 293,216.43, 439,832.84 and 103,650 is: 155,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,216.43 : 439,832.84 = 103,650 : x
  2. Step 2: Convert to fraction form
    293,216.43/439,832.84 = 103,650/x
  3. Step 3: Cross multiply
    293,216.43x = 439,832.84 × 103,650
  4. Step 4: Simplify right side
    293,216.43x = 45,588,673,866
  5. Step 5: Solve for x
    x = 45,588,673,866/293,216.43
  6. Step 6: Final answer
    x = 155,477.90

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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.