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Finding the Fourth Proportional to 219,317.60, 328,976.40 and 188,213.60

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Solution

The fourth proportional to 219,317.60, 328,976.40 and 188,213.60 is: 282,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,317.60 : 328,976.40 = 188,213.60 : x
  2. Step 2: Convert to fraction form
    219,317.60/328,976.40 = 188,213.60/x
  3. Step 3: Cross multiply
    219,317.60x = 328,976.40 × 188,213.60
  4. Step 4: Simplify right side
    219,317.60x = 61,917,832,559.04
  5. Step 5: Solve for x
    x = 61,917,832,559.04/219,317.60
  6. Step 6: Final answer
    x = 282,320.40

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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.