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Finding the Fourth Proportional to 475,940.69, 713,913.50 and 160,400.33

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Solution

The fourth proportional to 475,940.69, 713,913.50 and 160,400.33 is: 240,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,940.69 : 713,913.50 = 160,400.33 : x
  2. Step 2: Convert to fraction form
    475,940.69/713,913.50 = 160,400.33/x
  3. Step 3: Cross multiply
    475,940.69x = 713,913.50 × 160,400.33
  4. Step 4: Simplify right side
    475,940.69x = 114,511,959,597.81
  5. Step 5: Solve for x
    x = 114,511,959,597.81/475,940.69
  6. Step 6: Final answer
    x = 240,601.32

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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.