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Finding the Fourth Proportional to 471,085.68, 706,360.84 and 321,507.18

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Solution

The fourth proportional to 471,085.68, 706,360.84 and 321,507.18 is: 482,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,085.68 : 706,360.84 = 321,507.18 : x
  2. Step 2: Convert to fraction form
    471,085.68/706,360.84 = 321,507.18/x
  3. Step 3: Cross multiply
    471,085.68x = 706,360.84 × 321,507.18
  4. Step 4: Simplify right side
    471,085.68x = 227,100,080,927.06
  5. Step 5: Solve for x
    x = 227,100,080,927.06/471,085.68
  6. Step 6: Final answer
    x = 482,078.08

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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.