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Finding the Fourth Proportional to 469,893.63, 648,446.91 and 255,031.80

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Solution

The fourth proportional to 469,893.63, 648,446.91 and 255,031.80 is: 351,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,893.63 : 648,446.91 = 255,031.80 : x
  2. Step 2: Convert to fraction form
    469,893.63/648,446.91 = 255,031.80/x
  3. Step 3: Cross multiply
    469,893.63x = 648,446.91 × 255,031.80
  4. Step 4: Simplify right side
    469,893.63x = 165,374,582,661.74
  5. Step 5: Solve for x
    x = 165,374,582,661.74/469,893.63
  6. Step 6: Final answer
    x = 351,940.47

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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.