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Finding the Fourth Proportional to 470,775.60, 705,940.92 and 171,047.16

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Solution

The fourth proportional to 470,775.60, 705,940.92 and 171,047.16 is: 256,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,775.60 : 705,940.92 = 171,047.16 : x
  2. Step 2: Convert to fraction form
    470,775.60/705,940.92 = 171,047.16/x
  3. Step 3: Cross multiply
    470,775.60x = 705,940.92 × 171,047.16
  4. Step 4: Simplify right side
    470,775.60x = 120,749,189,493.79
  5. Step 5: Solve for x
    x = 120,749,189,493.79/470,775.60
  6. Step 6: Final answer
    x = 256,489.91

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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.