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Finding the Fourth Proportional to 475,770.51, 713,656.98 and 160,448.85

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Solution

The fourth proportional to 475,770.51, 713,656.98 and 160,448.85 is: 240,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,770.51 : 713,656.98 = 160,448.85 : x
  2. Step 2: Convert to fraction form
    475,770.51/713,656.98 = 160,448.85/x
  3. Step 3: Cross multiply
    475,770.51x = 713,656.98 × 160,448.85
  4. Step 4: Simplify right side
    475,770.51x = 114,505,441,735.47
  5. Step 5: Solve for x
    x = 114,505,441,735.47/475,770.51
  6. Step 6: Final answer
    x = 240,673.68

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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.