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Finding the Fourth Proportional to 472,910.52, 709,208.46 and 152,986.44

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Solution

The fourth proportional to 472,910.52, 709,208.46 and 152,986.44 is: 229,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,910.52 : 709,208.46 = 152,986.44 : x
  2. Step 2: Convert to fraction form
    472,910.52/709,208.46 = 152,986.44/x
  3. Step 3: Cross multiply
    472,910.52x = 709,208.46 × 152,986.44
  4. Step 4: Simplify right side
    472,910.52x = 108,499,277,513.28
  5. Step 5: Solve for x
    x = 108,499,277,513.28/472,910.52
  6. Step 6: Final answer
    x = 229,428.77

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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.