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Finding the Fourth Proportional to 380,394.92, 524,938.56 and 210,625.40

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Solution

The fourth proportional to 380,394.92, 524,938.56 and 210,625.40 is: 290,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,394.92 : 524,938.56 = 210,625.40 : x
  2. Step 2: Convert to fraction form
    380,394.92/524,938.56 = 210,625.40/x
  3. Step 3: Cross multiply
    380,394.92x = 524,938.56 × 210,625.40
  4. Step 4: Simplify right side
    380,394.92x = 110,565,391,550.73
  5. Step 5: Solve for x
    x = 110,565,391,550.73/380,394.92
  6. Step 6: Final answer
    x = 290,659.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.