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Finding the Fourth Proportional to 504,470.52, 756,749.40 and 144,642.96

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Solution

The fourth proportional to 504,470.52, 756,749.40 and 144,642.96 is: 216,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,470.52 : 756,749.40 = 144,642.96 : x
  2. Step 2: Convert to fraction form
    504,470.52/756,749.40 = 144,642.96/x
  3. Step 3: Cross multiply
    504,470.52x = 756,749.40 × 144,642.96
  4. Step 4: Simplify right side
    504,470.52x = 109,458,473,194.22
  5. Step 5: Solve for x
    x = 109,458,473,194.22/504,470.52
  6. Step 6: Final answer
    x = 216,976.95

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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.