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Finding the Fourth Proportional to 471,321.93, 706,891.63 and 183,133.07

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Solution

The fourth proportional to 471,321.93, 706,891.63 and 183,133.07 is: 274,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,321.93 : 706,891.63 = 183,133.07 : x
  2. Step 2: Convert to fraction form
    471,321.93/706,891.63 = 183,133.07/x
  3. Step 3: Cross multiply
    471,321.93x = 706,891.63 × 183,133.07
  4. Step 4: Simplify right side
    471,321.93x = 129,455,231,282.58
  5. Step 5: Solve for x
    x = 129,455,231,282.58/471,321.93
  6. Step 6: Final answer
    x = 274,664.14

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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.