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Finding the Fourth Proportional to 471,546.33, 706,922.73 and 205,106.16

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Solution

The fourth proportional to 471,546.33, 706,922.73 and 205,106.16 is: 307,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,546.33 : 706,922.73 = 205,106.16 : x
  2. Step 2: Convert to fraction form
    471,546.33/706,922.73 = 205,106.16/x
  3. Step 3: Cross multiply
    471,546.33x = 706,922.73 × 205,106.16
  4. Step 4: Simplify right side
    471,546.33x = 144,994,206,567.02
  5. Step 5: Solve for x
    x = 144,994,206,567.02/471,546.33
  6. Step 6: Final answer
    x = 307,486.66

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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.