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Finding the Fourth Proportional to 317,092.44, 475,004.94 and 190,663.47

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Solution

The fourth proportional to 317,092.44, 475,004.94 and 190,663.47 is: 285,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,092.44 : 475,004.94 = 190,663.47 : x
  2. Step 2: Convert to fraction form
    317,092.44/475,004.94 = 190,663.47/x
  3. Step 3: Cross multiply
    317,092.44x = 475,004.94 × 190,663.47
  4. Step 4: Simplify right side
    317,092.44x = 90,566,090,127.54
  5. Step 5: Solve for x
    x = 90,566,090,127.54/317,092.44
  6. Step 6: Final answer
    x = 285,614.16

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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.