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Finding the Fourth Proportional to 423,469.74, 584,389.22 and 232,495.44

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Solution

The fourth proportional to 423,469.74, 584,389.22 and 232,495.44 is: 320,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,469.74 : 584,389.22 = 232,495.44 : x
  2. Step 2: Convert to fraction form
    423,469.74/584,389.22 = 232,495.44/x
  3. Step 3: Cross multiply
    423,469.74x = 584,389.22 × 232,495.44
  4. Step 4: Simplify right side
    423,469.74x = 135,867,826,789.01
  5. Step 5: Solve for x
    x = 135,867,826,789.01/423,469.74
  6. Step 6: Final answer
    x = 320,844.24

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1.5x scale

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.