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Finding the Fourth Proportional to 389,843.76, 537,954.36 and 220,094.64

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Solution

The fourth proportional to 389,843.76, 537,954.36 and 220,094.64 is: 303,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,843.76 : 537,954.36 = 220,094.64 : x
  2. Step 2: Convert to fraction form
    389,843.76/537,954.36 = 220,094.64/x
  3. Step 3: Cross multiply
    389,843.76x = 537,954.36 × 220,094.64
  4. Step 4: Simplify right side
    389,843.76x = 118,400,871,200.63
  5. Step 5: Solve for x
    x = 118,400,871,200.63/389,843.76
  6. Step 6: Final answer
    x = 303,713.65

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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.