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Finding the Fourth Proportional to 489,471.40, 734,207.10 and 302,847.40

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Solution

The fourth proportional to 489,471.40, 734,207.10 and 302,847.40 is: 454,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,471.40 : 734,207.10 = 302,847.40 : x
  2. Step 2: Convert to fraction form
    489,471.40/734,207.10 = 302,847.40/x
  3. Step 3: Cross multiply
    489,471.40x = 734,207.10 × 302,847.40
  4. Step 4: Simplify right side
    489,471.40x = 222,352,711,296.54
  5. Step 5: Solve for x
    x = 222,352,711,296.54/489,471.40
  6. Step 6: Final answer
    x = 454,271.10

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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.