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Finding the Fourth Proportional to 340,594.77, 509,978.51 and 190,407.33

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Solution

The fourth proportional to 340,594.77, 509,978.51 and 190,407.33 is: 285,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,594.77 : 509,978.51 = 190,407.33 : x
  2. Step 2: Convert to fraction form
    340,594.77/509,978.51 = 190,407.33/x
  3. Step 3: Cross multiply
    340,594.77x = 509,978.51 × 190,407.33
  4. Step 4: Simplify right side
    340,594.77x = 97,103,646,208.47
  5. Step 5: Solve for x
    x = 97,103,646,208.47/340,594.77
  6. Step 6: Final answer
    x = 285,100.22

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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.