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Finding the Fourth Proportional to 470,492.96, 705,766.77 and 170,972.37

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Solution

The fourth proportional to 470,492.96, 705,766.77 and 170,972.37 is: 256,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,492.96 : 705,766.77 = 170,972.37 : x
  2. Step 2: Convert to fraction form
    470,492.96/705,766.77 = 170,972.37/x
  3. Step 3: Cross multiply
    470,492.96x = 705,766.77 × 170,972.37
  4. Step 4: Simplify right side
    470,492.96x = 120,666,617,334.15
  5. Step 5: Solve for x
    x = 120,666,617,334.15/470,492.96
  6. Step 6: Final answer
    x = 256,468.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.