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Finding the Fourth Proportional to 413,233.20, 619,558.20 and 188,701.20

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Solution

The fourth proportional to 413,233.20, 619,558.20 and 188,701.20 is: 282,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,233.20 : 619,558.20 = 188,701.20 : x
  2. Step 2: Convert to fraction form
    413,233.20/619,558.20 = 188,701.20/x
  3. Step 3: Cross multiply
    413,233.20x = 619,558.20 × 188,701.20
  4. Step 4: Simplify right side
    413,233.20x = 116,911,375,809.84
  5. Step 5: Solve for x
    x = 116,911,375,809.84/413,233.20
  6. Step 6: Final answer
    x = 282,918.64

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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.