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Finding the Fourth Proportional to 513,175.20, 769,244.40 and 232,893.60

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Solution

The fourth proportional to 513,175.20, 769,244.40 and 232,893.60 is: 349,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,175.20 : 769,244.40 = 232,893.60 : x
  2. Step 2: Convert to fraction form
    513,175.20/769,244.40 = 232,893.60/x
  3. Step 3: Cross multiply
    513,175.20x = 769,244.40 × 232,893.60
  4. Step 4: Simplify right side
    513,175.20x = 179,152,097,595.84
  5. Step 5: Solve for x
    x = 179,152,097,595.84/513,175.20
  6. Step 6: Final answer
    x = 349,105.14

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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.