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Finding the Fourth Proportional to 423,670, 584,662.34 and 230,076.04

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Solution

The fourth proportional to 423,670, 584,662.34 and 230,076.04 is: 317,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,670 : 584,662.34 = 230,076.04 : x
  2. Step 2: Convert to fraction form
    423,670/584,662.34 = 230,076.04/x
  3. Step 3: Cross multiply
    423,670x = 584,662.34 × 230,076.04
  4. Step 4: Simplify right side
    423,670x = 134,516,795,924.33
  5. Step 5: Solve for x
    x = 134,516,795,924.33/423,670
  6. Step 6: Final answer
    x = 317,503.71

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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.