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Finding the Fourth Proportional to 314,503.33, 434,010.30 and 178,536.09

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Solution

The fourth proportional to 314,503.33, 434,010.30 and 178,536.09 is: 246,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,503.33 : 434,010.30 = 178,536.09 : x
  2. Step 2: Convert to fraction form
    314,503.33/434,010.30 = 178,536.09/x
  3. Step 3: Cross multiply
    314,503.33x = 434,010.30 × 178,536.09
  4. Step 4: Simplify right side
    314,503.33x = 77,486,501,981.73
  5. Step 5: Solve for x
    x = 77,486,501,981.73/314,503.33
  6. Step 6: Final answer
    x = 246,377.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.