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Finding the Fourth Proportional to 413,606.94, 570,765.12 and 229,844.89

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Solution

The fourth proportional to 413,606.94, 570,765.12 and 229,844.89 is: 317,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,606.94 : 570,765.12 = 229,844.89 : x
  2. Step 2: Convert to fraction form
    413,606.94/570,765.12 = 229,844.89/x
  3. Step 3: Cross multiply
    413,606.94x = 570,765.12 × 229,844.89
  4. Step 4: Simplify right side
    413,606.94x = 131,187,446,222.24
  5. Step 5: Solve for x
    x = 131,187,446,222.24/413,606.94
  6. Step 6: Final answer
    x = 317,179.03

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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.