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Finding the Fourth Proportional to 306,592.49, 459,950.25 and 106,859.25

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Solution

The fourth proportional to 306,592.49, 459,950.25 and 106,859.25 is: 160,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,592.49 : 459,950.25 = 106,859.25 : x
  2. Step 2: Convert to fraction form
    306,592.49/459,950.25 = 106,859.25/x
  3. Step 3: Cross multiply
    306,592.49x = 459,950.25 × 106,859.25
  4. Step 4: Simplify right side
    306,592.49x = 49,149,938,551.95
  5. Step 5: Solve for x
    x = 49,149,938,551.95/306,592.49
  6. Step 6: Final answer
    x = 160,310.31

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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.