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Finding the Fourth Proportional to 471,109.83, 706,574.60 and 182,921.48

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Solution

The fourth proportional to 471,109.83, 706,574.60 and 182,921.48 is: 274,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,109.83 : 706,574.60 = 182,921.48 : x
  2. Step 2: Convert to fraction form
    471,109.83/706,574.60 = 182,921.48/x
  3. Step 3: Cross multiply
    471,109.83x = 706,574.60 × 182,921.48
  4. Step 4: Simplify right side
    471,109.83x = 129,247,671,562.41
  5. Step 5: Solve for x
    x = 129,247,671,562.41/471,109.83
  6. Step 6: Final answer
    x = 274,347.22

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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.