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Finding the Fourth Proportional to 427,938.12, 590,563.80 and 234,354

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Solution

The fourth proportional to 427,938.12, 590,563.80 and 234,354 is: 323,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,938.12 : 590,563.80 = 234,354 : x
  2. Step 2: Convert to fraction form
    427,938.12/590,563.80 = 234,354/x
  3. Step 3: Cross multiply
    427,938.12x = 590,563.80 × 234,354
  4. Step 4: Simplify right side
    427,938.12x = 138,400,988,785.20
  5. Step 5: Solve for x
    x = 138,400,988,785.20/427,938.12
  6. Step 6: Final answer
    x = 323,413.56

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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.