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Finding the Fourth Proportional to 471,342.12, 706,921.86 and 183,153.24

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Solution

The fourth proportional to 471,342.12, 706,921.86 and 183,153.24 is: 274,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,342.12 : 706,921.86 = 183,153.24 : x
  2. Step 2: Convert to fraction form
    471,342.12/706,921.86 = 183,153.24/x
  3. Step 3: Cross multiply
    471,342.12x = 706,921.86 × 183,153.24
  4. Step 4: Simplify right side
    471,342.12x = 129,475,029,085.83
  5. Step 5: Solve for x
    x = 129,475,029,085.83/471,342.12
  6. Step 6: Final answer
    x = 274,694.38

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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.