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Finding the Fourth Proportional to 315,424.17, 470,722.41 and 281,766.24

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Solution

The fourth proportional to 315,424.17, 470,722.41 and 281,766.24 is: 420,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,424.17 : 470,722.41 = 281,766.24 : x
  2. Step 2: Convert to fraction form
    315,424.17/470,722.41 = 281,766.24/x
  3. Step 3: Cross multiply
    315,424.17x = 470,722.41 × 281,766.24
  4. Step 4: Simplify right side
    315,424.17x = 132,633,683,549.44
  5. Step 5: Solve for x
    x = 132,633,683,549.44/315,424.17
  6. Step 6: Final answer
    x = 420,493.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.