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Finding the Fourth Proportional to 386,208.69, 532,938.60 and 216,410.01

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Solution

The fourth proportional to 386,208.69, 532,938.60 and 216,410.01 is: 298,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,208.69 : 532,938.60 = 216,410.01 : x
  2. Step 2: Convert to fraction form
    386,208.69/532,938.60 = 216,410.01/x
  3. Step 3: Cross multiply
    386,208.69x = 532,938.60 × 216,410.01
  4. Step 4: Simplify right side
    386,208.69x = 115,333,247,755.39
  5. Step 5: Solve for x
    x = 115,333,247,755.39/386,208.69
  6. Step 6: Final answer
    x = 298,629.34

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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.