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Finding the Fourth Proportional to 267,969.31, 401,428.46 and 155,413.08

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Solution

The fourth proportional to 267,969.31, 401,428.46 and 155,413.08 is: 232,814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,969.31 : 401,428.46 = 155,413.08 : x
  2. Step 2: Convert to fraction form
    267,969.31/401,428.46 = 155,413.08/x
  3. Step 3: Cross multiply
    267,969.31x = 401,428.46 × 155,413.08
  4. Step 4: Simplify right side
    267,969.31x = 62,387,233,756.79
  5. Step 5: Solve for x
    x = 62,387,233,756.79/267,969.31
  6. Step 6: Final answer
    x = 232,814.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.