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Finding the Fourth Proportional to 293,811.40, 440,717.10 and 210,867.40

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Solution

The fourth proportional to 293,811.40, 440,717.10 and 210,867.40 is: 316,301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,811.40 : 440,717.10 = 210,867.40 : x
  2. Step 2: Convert to fraction form
    293,811.40/440,717.10 = 210,867.40/x
  3. Step 3: Cross multiply
    293,811.40x = 440,717.10 × 210,867.40
  4. Step 4: Simplify right side
    293,811.40x = 92,932,869,012.54
  5. Step 5: Solve for x
    x = 92,932,869,012.54/293,811.40
  6. Step 6: Final answer
    x = 316,301.10

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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.