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Finding the Fourth Proportional to 378,630.14, 567,953.40 and 112,409.34

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Solution

The fourth proportional to 378,630.14, 567,953.40 and 112,409.34 is: 168,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,630.14 : 567,953.40 = 112,409.34 : x
  2. Step 2: Convert to fraction form
    378,630.14/567,953.40 = 112,409.34/x
  3. Step 3: Cross multiply
    378,630.14x = 567,953.40 × 112,409.34
  4. Step 4: Simplify right side
    378,630.14x = 63,843,266,844.76
  5. Step 5: Solve for x
    x = 63,843,266,844.76/378,630.14
  6. Step 6: Final answer
    x = 168,616.44

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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.