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Finding the Fourth Proportional to 471,275.16, 706,645.08 and 321,696.60

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Solution

The fourth proportional to 471,275.16, 706,645.08 and 321,696.60 is: 482,362.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,275.16 : 706,645.08 = 321,696.60 : x
  2. Step 2: Convert to fraction form
    471,275.16/706,645.08 = 321,696.60/x
  3. Step 3: Cross multiply
    471,275.16x = 706,645.08 × 321,696.60
  4. Step 4: Simplify right side
    471,275.16x = 227,325,319,642.73
  5. Step 5: Solve for x
    x = 227,325,319,642.73/471,275.16
  6. Step 6: Final answer
    x = 482,362.19

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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.