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Finding the Fourth Proportional to 509,461.60, 764,168.10 and 172,469.20

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Solution

The fourth proportional to 509,461.60, 764,168.10 and 172,469.20 is: 258,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,461.60 : 764,168.10 = 172,469.20 : x
  2. Step 2: Convert to fraction form
    509,461.60/764,168.10 = 172,469.20/x
  3. Step 3: Cross multiply
    509,461.60x = 764,168.10 × 172,469.20
  4. Step 4: Simplify right side
    509,461.60x = 131,795,460,872.52
  5. Step 5: Solve for x
    x = 131,795,460,872.52/509,461.60
  6. Step 6: Final answer
    x = 258,695.57

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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.