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Finding the Fourth Proportional to 470,697.42, 705,824.36 and 170,966.64

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Solution

The fourth proportional to 470,697.42, 705,824.36 and 170,966.64 is: 256,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,697.42 : 705,824.36 = 170,966.64 : x
  2. Step 2: Convert to fraction form
    470,697.42/705,824.36 = 170,966.64/x
  3. Step 3: Cross multiply
    470,697.42x = 705,824.36 × 170,966.64
  4. Step 4: Simplify right side
    470,697.42x = 120,672,419,259.35
  5. Step 5: Solve for x
    x = 120,672,419,259.35/470,697.42
  6. Step 6: Final answer
    x = 256,369.41

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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.