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Finding the Fourth Proportional to 471,075.53, 706,185.66 and 171,344.21

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Solution

The fourth proportional to 471,075.53, 706,185.66 and 171,344.21 is: 256,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,075.53 : 706,185.66 = 171,344.21 : x
  2. Step 2: Convert to fraction form
    471,075.53/706,185.66 = 171,344.21/x
  3. Step 3: Cross multiply
    471,075.53x = 706,185.66 × 171,344.21
  4. Step 4: Simplify right side
    471,075.53x = 121,000,820,495.10
  5. Step 5: Solve for x
    x = 121,000,820,495.10/471,075.53
  6. Step 6: Final answer
    x = 256,860.77

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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.