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Finding the Fourth Proportional to 464,734.26, 696,955.59 and 149,121

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Solution

The fourth proportional to 464,734.26, 696,955.59 and 149,121 is: 223,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,734.26 : 696,955.59 = 149,121 : x
  2. Step 2: Convert to fraction form
    464,734.26/696,955.59 = 149,121/x
  3. Step 3: Cross multiply
    464,734.26x = 696,955.59 × 149,121
  4. Step 4: Simplify right side
    464,734.26x = 103,930,714,536.39
  5. Step 5: Solve for x
    x = 103,930,714,536.39/464,734.26
  6. Step 6: Final answer
    x = 223,634.72

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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.