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Finding the Fourth Proportional to 470,668.65, 706,303.21 and 171,120.48

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Solution

The fourth proportional to 470,668.65, 706,303.21 and 171,120.48 is: 256,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,668.65 : 706,303.21 = 171,120.48 : x
  2. Step 2: Convert to fraction form
    470,668.65/706,303.21 = 171,120.48/x
  3. Step 3: Cross multiply
    470,668.65x = 706,303.21 × 171,120.48
  4. Step 4: Simplify right side
    470,668.65x = 120,862,944,320.74
  5. Step 5: Solve for x
    x = 120,862,944,320.74/470,668.65
  6. Step 6: Final answer
    x = 256,789.88

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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.