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Finding the Fourth Proportional to 287,057.80, 430,413.90 and 147,089.80

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Solution

The fourth proportional to 287,057.80, 430,413.90 and 147,089.80 is: 220,546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,057.80 : 430,413.90 = 147,089.80 : x
  2. Step 2: Convert to fraction form
    287,057.80/430,413.90 = 147,089.80/x
  3. Step 3: Cross multiply
    287,057.80x = 430,413.90 × 147,089.80
  4. Step 4: Simplify right side
    287,057.80x = 63,309,494,468.22
  5. Step 5: Solve for x
    x = 63,309,494,468.22/287,057.80
  6. Step 6: Final answer
    x = 220,546.16

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1.5x scale

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.