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Finding the Fourth Proportional to 470,593.53, 706,028.85 and 171,069.39

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Solution

The fourth proportional to 470,593.53, 706,028.85 and 171,069.39 is: 256,654.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,593.53 : 706,028.85 = 171,069.39 : x
  2. Step 2: Convert to fraction form
    470,593.53/706,028.85 = 171,069.39/x
  3. Step 3: Cross multiply
    470,593.53x = 706,028.85 × 171,069.39
  4. Step 4: Simplify right side
    470,593.53x = 120,779,924,691.90
  5. Step 5: Solve for x
    x = 120,779,924,691.90/470,593.53
  6. Step 6: Final answer
    x = 256,654.45

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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.