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Finding the Fourth Proportional to 378,048.75, 567,178.22 and 164,835.30

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Solution

The fourth proportional to 378,048.75, 567,178.22 and 164,835.30 is: 247,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,048.75 : 567,178.22 = 164,835.30 : x
  2. Step 2: Convert to fraction form
    378,048.75/567,178.22 = 164,835.30/x
  3. Step 3: Cross multiply
    378,048.75x = 567,178.22 × 164,835.30
  4. Step 4: Simplify right side
    378,048.75x = 93,490,992,047.17
  5. Step 5: Solve for x
    x = 93,490,992,047.17/378,048.75
  6. Step 6: Final answer
    x = 247,298.77

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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.