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Finding the Fourth Proportional to 293,226.16, 439,784.16 and 82,862.68

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Solution

The fourth proportional to 293,226.16, 439,784.16 and 82,862.68 is: 124,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,226.16 : 439,784.16 = 82,862.68 : x
  2. Step 2: Convert to fraction form
    293,226.16/439,784.16 = 82,862.68/x
  3. Step 3: Cross multiply
    293,226.16x = 439,784.16 × 82,862.68
  4. Step 4: Simplify right side
    293,226.16x = 36,441,694,119.15
  5. Step 5: Solve for x
    x = 36,441,694,119.15/293,226.16
  6. Step 6: Final answer
    x = 124,278.45

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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.