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Finding the Fourth Proportional to 385,656.48, 533,221.92 and 337,772.88

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Solution

The fourth proportional to 385,656.48, 533,221.92 and 337,772.88 is: 467,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,656.48 : 533,221.92 = 337,772.88 : x
  2. Step 2: Convert to fraction form
    385,656.48/533,221.92 = 337,772.88/x
  3. Step 3: Cross multiply
    385,656.48x = 533,221.92 × 337,772.88
  4. Step 4: Simplify right side
    385,656.48x = 180,107,903,597.53
  5. Step 5: Solve for x
    x = 180,107,903,597.53/385,656.48
  6. Step 6: Final answer
    x = 467,016.41

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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.