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Finding the Fourth Proportional to 470,172, 705,256.56 and 170,652.24

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Solution

The fourth proportional to 470,172, 705,256.56 and 170,652.24 is: 255,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,172 : 705,256.56 = 170,652.24 : x
  2. Step 2: Convert to fraction form
    470,172/705,256.56 = 170,652.24/x
  3. Step 3: Cross multiply
    470,172x = 705,256.56 × 170,652.24
  4. Step 4: Simplify right side
    470,172x = 120,353,611,738.69
  5. Step 5: Solve for x
    x = 120,353,611,738.69/470,172
  6. Step 6: Final answer
    x = 255,977.84

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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.