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Finding the Fourth Proportional to 472,495.60, 708,855 and 188,202.48

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Solution

The fourth proportional to 472,495.60, 708,855 and 188,202.48 is: 282,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,495.60 : 708,855 = 188,202.48 : x
  2. Step 2: Convert to fraction form
    472,495.60/708,855 = 188,202.48/x
  3. Step 3: Cross multiply
    472,495.60x = 708,855 × 188,202.48
  4. Step 4: Simplify right side
    472,495.60x = 133,408,268,960.40
  5. Step 5: Solve for x
    x = 133,408,268,960.40/472,495.60
  6. Step 6: Final answer
    x = 282,348.17

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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.