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Finding the Fourth Proportional to 468,216.96, 646,124.64 and 277,231.92

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Solution

The fourth proportional to 468,216.96, 646,124.64 and 277,231.92 is: 382,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,216.96 : 646,124.64 = 277,231.92 : x
  2. Step 2: Convert to fraction form
    468,216.96/646,124.64 = 277,231.92/x
  3. Step 3: Cross multiply
    468,216.96x = 646,124.64 × 277,231.92
  4. Step 4: Simplify right side
    468,216.96x = 179,126,374,506.51
  5. Step 5: Solve for x
    x = 179,126,374,506.51/468,216.96
  6. Step 6: Final answer
    x = 382,571.31

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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.