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Finding the Fourth Proportional to 504,292.56, 756,447.06 and 144,462.02

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Solution

The fourth proportional to 504,292.56, 756,447.06 and 144,462.02 is: 216,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,292.56 : 756,447.06 = 144,462.02 : x
  2. Step 2: Convert to fraction form
    504,292.56/756,447.06 = 144,462.02/x
  3. Step 3: Cross multiply
    504,292.56x = 756,447.06 × 144,462.02
  4. Step 4: Simplify right side
    504,292.56x = 109,277,870,310.66
  5. Step 5: Solve for x
    x = 109,277,870,310.66/504,292.56
  6. Step 6: Final answer
    x = 216,695.38

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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.