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Finding the Fourth Proportional to 413,193.36, 619,206.84 and 176,453.04

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Solution

The fourth proportional to 413,193.36, 619,206.84 and 176,453.04 is: 264,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,193.36 : 619,206.84 = 176,453.04 : x
  2. Step 2: Convert to fraction form
    413,193.36/619,206.84 = 176,453.04/x
  3. Step 3: Cross multiply
    413,193.36x = 619,206.84 × 176,453.04
  4. Step 4: Simplify right side
    413,193.36x = 109,260,929,306.79
  5. Step 5: Solve for x
    x = 109,260,929,306.79/413,193.36
  6. Step 6: Final answer
    x = 264,430.51

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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.