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Finding the Fourth Proportional to 469,788.83, 704,680.50 and 170,199.44

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Solution

The fourth proportional to 469,788.83, 704,680.50 and 170,199.44 is: 255,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,788.83 : 704,680.50 = 170,199.44 : x
  2. Step 2: Convert to fraction form
    469,788.83/704,680.50 = 170,199.44/x
  3. Step 3: Cross multiply
    469,788.83x = 704,680.50 × 170,199.44
  4. Step 4: Simplify right side
    469,788.83x = 119,936,222,955.52
  5. Step 5: Solve for x
    x = 119,936,222,955.52/469,788.83
  6. Step 6: Final answer
    x = 255,298.16

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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.