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Finding the Fourth Proportional to 413,096.80, 619,632.40 and 117,608.80

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Solution

The fourth proportional to 413,096.80, 619,632.40 and 117,608.80 is: 176,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,096.80 : 619,632.40 = 117,608.80 : x
  2. Step 2: Convert to fraction form
    413,096.80/619,632.40 = 117,608.80/x
  3. Step 3: Cross multiply
    413,096.80x = 619,632.40 × 117,608.80
  4. Step 4: Simplify right side
    413,096.80x = 72,874,223,005.12
  5. Step 5: Solve for x
    x = 72,874,223,005.12/413,096.80
  6. Step 6: Final answer
    x = 176,409.56

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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.