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Finding the Fourth Proportional to 471,253.60, 706,646.82 and 167,602.24

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Solution

The fourth proportional to 471,253.60, 706,646.82 and 167,602.24 is: 251,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,253.60 : 706,646.82 = 167,602.24 : x
  2. Step 2: Convert to fraction form
    471,253.60/706,646.82 = 167,602.24/x
  3. Step 3: Cross multiply
    471,253.60x = 706,646.82 × 167,602.24
  4. Step 4: Simplify right side
    471,253.60x = 118,435,589,920.88
  5. Step 5: Solve for x
    x = 118,435,589,920.88/471,253.60
  6. Step 6: Final answer
    x = 251,320.29

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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.