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Finding the Fourth Proportional to 287,576.80, 431,365.20 and 147,608.80

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Solution

The fourth proportional to 287,576.80, 431,365.20 and 147,608.80 is: 221,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,576.80 : 431,365.20 = 147,608.80 : x
  2. Step 2: Convert to fraction form
    287,576.80/431,365.20 = 147,608.80/x
  3. Step 3: Cross multiply
    287,576.80x = 431,365.20 × 147,608.80
  4. Step 4: Simplify right side
    287,576.80x = 63,673,299,533.76
  5. Step 5: Solve for x
    x = 63,673,299,533.76/287,576.80
  6. Step 6: Final answer
    x = 221,413.20

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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.