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Finding the Fourth Proportional to 277,277.11, 415,666.49 and 99,659.57

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Solution

The fourth proportional to 277,277.11, 415,666.49 and 99,659.57 is: 149,399.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,277.11 : 415,666.49 = 99,659.57 : x
  2. Step 2: Convert to fraction form
    277,277.11/415,666.49 = 99,659.57/x
  3. Step 3: Cross multiply
    277,277.11x = 415,666.49 × 99,659.57
  4. Step 4: Simplify right side
    277,277.11x = 41,425,141,080.18
  5. Step 5: Solve for x
    x = 41,425,141,080.18/277,277.11
  6. Step 6: Final answer
    x = 149,399.79

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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.