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Finding the Fourth Proportional to 471,054.54, 706,314.15 and 321,476.04

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Solution

The fourth proportional to 471,054.54, 706,314.15 and 321,476.04 is: 482,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,054.54 : 706,314.15 = 321,476.04 : x
  2. Step 2: Convert to fraction form
    471,054.54/706,314.15 = 321,476.04/x
  3. Step 3: Cross multiply
    471,054.54x = 706,314.15 × 321,476.04
  4. Step 4: Simplify right side
    471,054.54x = 227,063,075,937.97
  5. Step 5: Solve for x
    x = 227,063,075,937.97/471,054.54
  6. Step 6: Final answer
    x = 482,031.39

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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.