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Finding the Fourth Proportional to 423,788.08, 584,832.38 and 230,197.58

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Solution

The fourth proportional to 423,788.08, 584,832.38 and 230,197.58 is: 317,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,788.08 : 584,832.38 = 230,197.58 : x
  2. Step 2: Convert to fraction form
    423,788.08/584,832.38 = 230,197.58/x
  3. Step 3: Cross multiply
    423,788.08x = 584,832.38 × 230,197.58
  4. Step 4: Simplify right side
    423,788.08x = 134,626,998,581.64
  5. Step 5: Solve for x
    x = 134,626,998,581.64/423,788.08
  6. Step 6: Final answer
    x = 317,675.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.