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Finding the Fourth Proportional to 213,324.60, 319,526.10 and 176,460.60

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Solution

The fourth proportional to 213,324.60, 319,526.10 and 176,460.60 is: 264,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,324.60 : 319,526.10 = 176,460.60 : x
  2. Step 2: Convert to fraction form
    213,324.60/319,526.10 = 176,460.60/x
  3. Step 3: Cross multiply
    213,324.60x = 319,526.10 × 176,460.60
  4. Step 4: Simplify right side
    213,324.60x = 56,383,767,321.66
  5. Step 5: Solve for x
    x = 56,383,767,321.66/213,324.60
  6. Step 6: Final answer
    x = 264,309.73

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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.