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Finding the Fourth Proportional to 475,694, 713,541 and 120,709.88

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Solution

The fourth proportional to 475,694, 713,541 and 120,709.88 is: 181,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,694 : 713,541 = 120,709.88 : x
  2. Step 2: Convert to fraction form
    475,694/713,541 = 120,709.88/x
  3. Step 3: Cross multiply
    475,694x = 713,541 × 120,709.88
  4. Step 4: Simplify right side
    475,694x = 86,131,448,485.08
  5. Step 5: Solve for x
    x = 86,131,448,485.08/475,694
  6. Step 6: Final answer
    x = 181,064.82

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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.