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Finding the Fourth Proportional to 470,755.68, 705,903.90 and 167,047

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Solution

The fourth proportional to 470,755.68, 705,903.90 and 167,047 is: 250,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,755.68 : 705,903.90 = 167,047 : x
  2. Step 2: Convert to fraction form
    470,755.68/705,903.90 = 167,047/x
  3. Step 3: Cross multiply
    470,755.68x = 705,903.90 × 167,047
  4. Step 4: Simplify right side
    470,755.68x = 117,919,128,783.30
  5. Step 5: Solve for x
    x = 117,919,128,783.30/470,755.68
  6. Step 6: Final answer
    x = 250,489.02

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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.