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Finding the Fourth Proportional to 470,892.45, 706,338.69 and 171,382.80

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Solution

The fourth proportional to 470,892.45, 706,338.69 and 171,382.80 is: 257,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,892.45 : 706,338.69 = 171,382.80 : x
  2. Step 2: Convert to fraction form
    470,892.45/706,338.69 = 171,382.80/x
  3. Step 3: Cross multiply
    470,892.45x = 706,338.69 × 171,382.80
  4. Step 4: Simplify right side
    470,892.45x = 121,054,302,440.53
  5. Step 5: Solve for x
    x = 121,054,302,440.53/470,892.45
  6. Step 6: Final answer
    x = 257,074.21

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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.