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Finding the Fourth Proportional to 298,416.20, 447,624.30 and 101,424.20

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Solution

The fourth proportional to 298,416.20, 447,624.30 and 101,424.20 is: 152,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,416.20 : 447,624.30 = 101,424.20 : x
  2. Step 2: Convert to fraction form
    298,416.20/447,624.30 = 101,424.20/x
  3. Step 3: Cross multiply
    298,416.20x = 447,624.30 × 101,424.20
  4. Step 4: Simplify right side
    298,416.20x = 45,399,936,528.06
  5. Step 5: Solve for x
    x = 45,399,936,528.06/298,416.20
  6. Step 6: Final answer
    x = 152,136.30

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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.