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Finding the Fourth Proportional to 471,133.25, 706,933.40 and 186,817.70

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Solution

The fourth proportional to 471,133.25, 706,933.40 and 186,817.70 is: 280,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,133.25 : 706,933.40 = 186,817.70 : x
  2. Step 2: Convert to fraction form
    471,133.25/706,933.40 = 186,817.70/x
  3. Step 3: Cross multiply
    471,133.25x = 706,933.40 × 186,817.70
  4. Step 4: Simplify right side
    471,133.25x = 132,067,671,841.18
  5. Step 5: Solve for x
    x = 132,067,671,841.18/471,133.25
  6. Step 6: Final answer
    x = 280,319.15

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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.