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Finding the Fourth Proportional to 471,510.71, 706,839.65 and 171,921.24

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Solution

The fourth proportional to 471,510.71, 706,839.65 and 171,921.24 is: 257,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,510.71 : 706,839.65 = 171,921.24 : x
  2. Step 2: Convert to fraction form
    471,510.71/706,839.65 = 171,921.24/x
  3. Step 3: Cross multiply
    471,510.71x = 706,839.65 × 171,921.24
  4. Step 4: Simplify right side
    471,510.71x = 121,520,748,249.56
  5. Step 5: Solve for x
    x = 121,520,748,249.56/471,510.71
  6. Step 6: Final answer
    x = 257,726.38

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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.