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Finding the Fourth Proportional to 471,207.51, 706,392.90 and 171,632.25

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Solution

The fourth proportional to 471,207.51, 706,392.90 and 171,632.25 is: 257,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,207.51 : 706,392.90 = 171,632.25 : x
  2. Step 2: Convert to fraction form
    471,207.51/706,392.90 = 171,632.25/x
  3. Step 3: Cross multiply
    471,207.51x = 706,392.90 × 171,632.25
  4. Step 4: Simplify right side
    471,207.51x = 121,239,802,811.03
  5. Step 5: Solve for x
    x = 121,239,802,811.03/471,207.51
  6. Step 6: Final answer
    x = 257,295.99

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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.