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Finding the Fourth Proportional to 379,676.24, 523,802.52 and 218,444.52

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Solution

The fourth proportional to 379,676.24, 523,802.52 and 218,444.52 is: 301,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,676.24 : 523,802.52 = 218,444.52 : x
  2. Step 2: Convert to fraction form
    379,676.24/523,802.52 = 218,444.52/x
  3. Step 3: Cross multiply
    379,676.24x = 523,802.52 × 218,444.52
  4. Step 4: Simplify right side
    379,676.24x = 114,421,790,056.19
  5. Step 5: Solve for x
    x = 114,421,790,056.19/379,676.24
  6. Step 6: Final answer
    x = 301,366.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.