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Finding the Fourth Proportional to 471,170.95, 706,763.91 and 116,185.07

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Solution

The fourth proportional to 471,170.95, 706,763.91 and 116,185.07 is: 174,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,170.95 : 706,763.91 = 116,185.07 : x
  2. Step 2: Convert to fraction form
    471,170.95/706,763.91 = 116,185.07/x
  3. Step 3: Cross multiply
    471,170.95x = 706,763.91 × 116,185.07
  4. Step 4: Simplify right side
    471,170.95x = 82,115,414,356.82
  5. Step 5: Solve for x
    x = 82,115,414,356.82/471,170.95
  6. Step 6: Final answer
    x = 174,279.45

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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.