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Finding the Fourth Proportional to 316,002.44, 436,093.80 and 172,766.36

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Solution

The fourth proportional to 316,002.44, 436,093.80 and 172,766.36 is: 238,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,002.44 : 436,093.80 = 172,766.36 : x
  2. Step 2: Convert to fraction form
    316,002.44/436,093.80 = 172,766.36/x
  3. Step 3: Cross multiply
    316,002.44x = 436,093.80 × 172,766.36
  4. Step 4: Simplify right side
    316,002.44x = 75,342,338,444.57
  5. Step 5: Solve for x
    x = 75,342,338,444.57/316,002.44
  6. Step 6: Final answer
    x = 238,423.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.