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Finding the Fourth Proportional to 340,087.86, 510,197.39 and 190,497.06

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Solution

The fourth proportional to 340,087.86, 510,197.39 and 190,497.06 is: 285,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,087.86 : 510,197.39 = 190,497.06 : x
  2. Step 2: Convert to fraction form
    340,087.86/510,197.39 = 190,497.06/x
  3. Step 3: Cross multiply
    340,087.86x = 510,197.39 × 190,497.06
  4. Step 4: Simplify right side
    340,087.86x = 97,191,101,862.19
  5. Step 5: Solve for x
    x = 97,191,101,862.19/340,087.86
  6. Step 6: Final answer
    x = 285,782.33

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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.