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Finding the Fourth Proportional to 470,646.51, 649,497.22 and 255,786.59

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Solution

The fourth proportional to 470,646.51, 649,497.22 and 255,786.59 is: 352,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,646.51 : 649,497.22 = 255,786.59 : x
  2. Step 2: Convert to fraction form
    470,646.51/649,497.22 = 255,786.59/x
  3. Step 3: Cross multiply
    470,646.51x = 649,497.22 × 255,786.59
  4. Step 4: Simplify right side
    470,646.51x = 166,132,679,118.28
  5. Step 5: Solve for x
    x = 166,132,679,118.28/470,646.51
  6. Step 6: Final answer
    x = 352,988.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.