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Finding the Fourth Proportional to 493,338.36, 680,837.58 and 278,400

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Solution

The fourth proportional to 493,338.36, 680,837.58 and 278,400 is: 384,209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,338.36 : 680,837.58 = 278,400 : x
  2. Step 2: Convert to fraction form
    493,338.36/680,837.58 = 278,400/x
  3. Step 3: Cross multiply
    493,338.36x = 680,837.58 × 278,400
  4. Step 4: Simplify right side
    493,338.36x = 189,545,182,272
  5. Step 5: Solve for x
    x = 189,545,182,272/493,338.36
  6. Step 6: Final answer
    x = 384,209.29

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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.