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Finding the Fourth Proportional to 407,136.20, 610,704.30 and 197,184.20

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Solution

The fourth proportional to 407,136.20, 610,704.30 and 197,184.20 is: 295,776.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,136.20 : 610,704.30 = 197,184.20 : x
  2. Step 2: Convert to fraction form
    407,136.20/610,704.30 = 197,184.20/x
  3. Step 3: Cross multiply
    407,136.20x = 610,704.30 × 197,184.20
  4. Step 4: Simplify right side
    407,136.20x = 120,421,238,832.06
  5. Step 5: Solve for x
    x = 120,421,238,832.06/407,136.20
  6. Step 6: Final answer
    x = 295,776.30

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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.