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Finding the Fourth Proportional to 413,460.62, 619,360.53 and 188,511.62

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Solution

The fourth proportional to 413,460.62, 619,360.53 and 188,511.62 is: 282,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,460.62 : 619,360.53 = 188,511.62 : x
  2. Step 2: Convert to fraction form
    413,460.62/619,360.53 = 188,511.62/x
  3. Step 3: Cross multiply
    413,460.62x = 619,360.53 × 188,511.62
  4. Step 4: Simplify right side
    413,460.62x = 116,756,653,777.56
  5. Step 5: Solve for x
    x = 116,756,653,777.56/413,460.62
  6. Step 6: Final answer
    x = 282,388.82

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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.