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Finding the Fourth Proportional to 311,868.47, 430,353.73 and 175,858.94

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Solution

The fourth proportional to 311,868.47, 430,353.73 and 175,858.94 is: 242,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,868.47 : 430,353.73 = 175,858.94 : x
  2. Step 2: Convert to fraction form
    311,868.47/430,353.73 = 175,858.94/x
  3. Step 3: Cross multiply
    311,868.47x = 430,353.73 × 175,858.94
  4. Step 4: Simplify right side
    311,868.47x = 75,681,550,464.73
  5. Step 5: Solve for x
    x = 75,681,550,464.73/311,868.47
  6. Step 6: Final answer
    x = 242,671.38

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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.