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Finding the Fourth Proportional to 312,729.90, 468,810.54 and 162,794.04

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Solution

The fourth proportional to 312,729.90, 468,810.54 and 162,794.04 is: 244,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,729.90 : 468,810.54 = 162,794.04 : x
  2. Step 2: Convert to fraction form
    312,729.90/468,810.54 = 162,794.04/x
  3. Step 3: Cross multiply
    312,729.90x = 468,810.54 × 162,794.04
  4. Step 4: Simplify right side
    312,729.90x = 76,319,561,801.18
  5. Step 5: Solve for x
    x = 76,319,561,801.18/312,729.90
  6. Step 6: Final answer
    x = 244,043.06

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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.