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Finding the Fourth Proportional to 471,322.93, 706,893.13 and 183,134.07

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Solution

The fourth proportional to 471,322.93, 706,893.13 and 183,134.07 is: 274,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,322.93 : 706,893.13 = 183,134.07 : x
  2. Step 2: Convert to fraction form
    471,322.93/706,893.13 = 183,134.07/x
  3. Step 3: Cross multiply
    471,322.93x = 706,893.13 × 183,134.07
  4. Step 4: Simplify right side
    471,322.93x = 129,456,215,951.94
  5. Step 5: Solve for x
    x = 129,456,215,951.94/471,322.93
  6. Step 6: Final answer
    x = 274,665.64

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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.