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Finding the Fourth Proportional to 515,536.12, 772,993.14 and 231,175

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Solution

The fourth proportional to 515,536.12, 772,993.14 and 231,175 is: 346,623.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,536.12 : 772,993.14 = 231,175 : x
  2. Step 2: Convert to fraction form
    515,536.12/772,993.14 = 231,175/x
  3. Step 3: Cross multiply
    515,536.12x = 772,993.14 × 231,175
  4. Step 4: Simplify right side
    515,536.12x = 178,696,689,139.50
  5. Step 5: Solve for x
    x = 178,696,689,139.50/515,536.12
  6. Step 6: Final answer
    x = 346,623.02

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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.