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Finding the Fourth Proportional to 423,438.80, 584,346.11 and 229,846.38

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Solution

The fourth proportional to 423,438.80, 584,346.11 and 229,846.38 is: 317,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,438.80 : 584,346.11 = 229,846.38 : x
  2. Step 2: Convert to fraction form
    423,438.80/584,346.11 = 229,846.38/x
  3. Step 3: Cross multiply
    423,438.80x = 584,346.11 × 229,846.38
  4. Step 4: Simplify right side
    423,438.80x = 134,309,838,050.58
  5. Step 5: Solve for x
    x = 134,309,838,050.58/423,438.80
  6. Step 6: Final answer
    x = 317,188.31

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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.