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Finding the Fourth Proportional to 340,424.25, 510,590.41 and 140,716.93

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Solution

The fourth proportional to 340,424.25, 510,590.41 and 140,716.93 is: 211,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,424.25 : 510,590.41 = 140,716.93 : x
  2. Step 2: Convert to fraction form
    340,424.25/510,590.41 = 140,716.93/x
  3. Step 3: Cross multiply
    340,424.25x = 510,590.41 × 140,716.93
  4. Step 4: Simplify right side
    340,424.25x = 71,848,713,354.37
  5. Step 5: Solve for x
    x = 71,848,713,354.37/340,424.25
  6. Step 6: Final answer
    x = 211,056.39

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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.