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Finding the Fourth Proportional to 402,512.79, 555,473.40 and 221,241.48

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Solution

The fourth proportional to 402,512.79, 555,473.40 and 221,241.48 is: 305,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,512.79 : 555,473.40 = 221,241.48 : x
  2. Step 2: Convert to fraction form
    402,512.79/555,473.40 = 221,241.48/x
  3. Step 3: Cross multiply
    402,512.79x = 555,473.40 × 221,241.48
  4. Step 4: Simplify right side
    402,512.79x = 122,893,754,203.95
  5. Step 5: Solve for x
    x = 122,893,754,203.95/402,512.79
  6. Step 6: Final answer
    x = 305,316.39

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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.