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Finding the Fourth Proportional to 413,176.80, 619,822.80 and 176,517.60

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Solution

The fourth proportional to 413,176.80, 619,822.80 and 176,517.60 is: 264,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,176.80 : 619,822.80 = 176,517.60 : x
  2. Step 2: Convert to fraction form
    413,176.80/619,822.80 = 176,517.60/x
  3. Step 3: Cross multiply
    413,176.80x = 619,822.80 × 176,517.60
  4. Step 4: Simplify right side
    413,176.80x = 109,409,633,081.28
  5. Step 5: Solve for x
    x = 109,409,633,081.28/413,176.80
  6. Step 6: Final answer
    x = 264,801.01

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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.