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Finding the Fourth Proportional to 314,093, 471,290.70 and 156,335.24

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Solution

The fourth proportional to 314,093, 471,290.70 and 156,335.24 is: 234,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,093 : 471,290.70 = 156,335.24 : x
  2. Step 2: Convert to fraction form
    314,093/471,290.70 = 156,335.24/x
  3. Step 3: Cross multiply
    314,093x = 471,290.70 × 156,335.24
  4. Step 4: Simplify right side
    314,093x = 73,679,344,694.27
  5. Step 5: Solve for x
    x = 73,679,344,694.27/314,093
  6. Step 6: Final answer
    x = 234,578.12

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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.