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Finding the Fourth Proportional to 306,627.26, 460,017.42 and 106,950.51

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Solution

The fourth proportional to 306,627.26, 460,017.42 and 106,950.51 is: 160,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,627.26 : 460,017.42 = 106,950.51 : x
  2. Step 2: Convert to fraction form
    306,627.26/460,017.42 = 106,950.51/x
  3. Step 3: Cross multiply
    306,627.26x = 460,017.42 × 106,950.51
  4. Step 4: Simplify right side
    306,627.26x = 49,199,097,677.88
  5. Step 5: Solve for x
    x = 49,199,097,677.88/306,627.26
  6. Step 6: Final answer
    x = 160,452.46

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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.