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Finding the Fourth Proportional to 470,061.63, 704,986.74 and 170,544.69

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Solution

The fourth proportional to 470,061.63, 704,986.74 and 170,544.69 is: 255,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,061.63 : 704,986.74 = 170,544.69 : x
  2. Step 2: Convert to fraction form
    470,061.63/704,986.74 = 170,544.69/x
  3. Step 3: Cross multiply
    470,061.63x = 704,986.74 × 170,544.69
  4. Step 4: Simplify right side
    470,061.63x = 120,231,745,027.41
  5. Step 5: Solve for x
    x = 120,231,745,027.41/470,061.63
  6. Step 6: Final answer
    x = 255,778.68

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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.