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Finding the Fourth Proportional to 414,805.35, 572,390.46 and 231,037.76

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Solution

The fourth proportional to 414,805.35, 572,390.46 and 231,037.76 is: 318,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,805.35 : 572,390.46 = 231,037.76 : x
  2. Step 2: Convert to fraction form
    414,805.35/572,390.46 = 231,037.76/x
  3. Step 3: Cross multiply
    414,805.35x = 572,390.46 × 231,037.76
  4. Step 4: Simplify right side
    414,805.35x = 132,243,805,706.63
  5. Step 5: Solve for x
    x = 132,243,805,706.63/414,805.35
  6. Step 6: Final answer
    x = 318,809.31

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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.