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Finding the Fourth Proportional to 412,756.83, 619,196.75 and 146,495.04

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Solution

The fourth proportional to 412,756.83, 619,196.75 and 146,495.04 is: 219,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,756.83 : 619,196.75 = 146,495.04 : x
  2. Step 2: Convert to fraction form
    412,756.83/619,196.75 = 146,495.04/x
  3. Step 3: Cross multiply
    412,756.83x = 619,196.75 × 146,495.04
  4. Step 4: Simplify right side
    412,756.83x = 90,709,252,659.12
  5. Step 5: Solve for x
    x = 90,709,252,659.12/412,756.83
  6. Step 6: Final answer
    x = 219,764.39

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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.