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Finding the Fourth Proportional to 470,777.60, 705,943.92 and 171,049.16

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Solution

The fourth proportional to 470,777.60, 705,943.92 and 171,049.16 is: 256,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,777.60 : 705,943.92 = 171,049.16 : x
  2. Step 2: Convert to fraction form
    470,777.60/705,943.92 = 171,049.16/x
  3. Step 3: Cross multiply
    470,777.60x = 705,943.92 × 171,049.16
  4. Step 4: Simplify right side
    470,777.60x = 120,751,114,523.11
  5. Step 5: Solve for x
    x = 120,751,114,523.11/470,777.60
  6. Step 6: Final answer
    x = 256,492.91

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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.