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Finding the Fourth Proportional to 312,061.20, 467,435.70 and 259,573.20

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Solution

The fourth proportional to 312,061.20, 467,435.70 and 259,573.20 is: 388,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,061.20 : 467,435.70 = 259,573.20 : x
  2. Step 2: Convert to fraction form
    312,061.20/467,435.70 = 259,573.20/x
  3. Step 3: Cross multiply
    312,061.20x = 467,435.70 × 259,573.20
  4. Step 4: Simplify right side
    312,061.20x = 121,333,780,443.24
  5. Step 5: Solve for x
    x = 121,333,780,443.24/312,061.20
  6. Step 6: Final answer
    x = 388,814.05

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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.