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Finding the Fourth Proportional to 287,777.00, 431,665.20 and 77,414.94

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Solution

The fourth proportional to 287,777.00, 431,665.20 and 77,414.94 is: 116,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,777.00 : 431,665.20 = 77,414.94 : x
  2. Step 2: Convert to fraction form
    287,777.00/431,665.20 = 77,414.94/x
  3. Step 3: Cross multiply
    287,777.00x = 431,665.20 × 77,414.94
  4. Step 4: Simplify right side
    287,777.00x = 33,417,335,558.09
  5. Step 5: Solve for x
    x = 33,417,335,558.09/287,777.00
  6. Step 6: Final answer
    x = 116,122.33

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1.5x scale

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.