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Finding the Fourth Proportional to 497,366.10, 746,049.15 and 164,942.10

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Solution

The fourth proportional to 497,366.10, 746,049.15 and 164,942.10 is: 247,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,366.10 : 746,049.15 = 164,942.10 : x
  2. Step 2: Convert to fraction form
    497,366.10/746,049.15 = 164,942.10/x
  3. Step 3: Cross multiply
    497,366.10x = 746,049.15 × 164,942.10
  4. Step 4: Simplify right side
    497,366.10x = 123,054,913,504.22
  5. Step 5: Solve for x
    x = 123,054,913,504.22/497,366.10
  6. Step 6: Final answer
    x = 247,413.15

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Similar ratio
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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.