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Finding the Fourth Proportional to 470,406.44, 649,165.38 and 255,548.12

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Solution

The fourth proportional to 470,406.44, 649,165.38 and 255,548.12 is: 352,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,406.44 : 649,165.38 = 255,548.12 : x
  2. Step 2: Convert to fraction form
    470,406.44/649,165.38 = 255,548.12/x
  3. Step 3: Cross multiply
    470,406.44x = 649,165.38 × 255,548.12
  4. Step 4: Simplify right side
    470,406.44x = 165,892,992,428.09
  5. Step 5: Solve for x
    x = 165,892,992,428.09/470,406.44
  6. Step 6: Final answer
    x = 352,658.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.