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Finding the Fourth Proportional to 340,594.76, 509,978.50 and 190,407.33

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Solution

The fourth proportional to 340,594.76, 509,978.50 and 190,407.33 is: 285,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,594.76 : 509,978.50 = 190,407.33 : x
  2. Step 2: Convert to fraction form
    340,594.76/509,978.50 = 190,407.33/x
  3. Step 3: Cross multiply
    340,594.76x = 509,978.50 × 190,407.33
  4. Step 4: Simplify right side
    340,594.76x = 97,103,644,066.39
  5. Step 5: Solve for x
    x = 97,103,644,066.39/340,594.76
  6. Step 6: Final answer
    x = 285,100.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.