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Finding the Fourth Proportional to 413,185.73, 570,124.31 and 231,905.30

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Solution

The fourth proportional to 413,185.73, 570,124.31 and 231,905.30 is: 319,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,185.73 : 570,124.31 = 231,905.30 : x
  2. Step 2: Convert to fraction form
    413,185.73/570,124.31 = 231,905.30/x
  3. Step 3: Cross multiply
    413,185.73x = 570,124.31 × 231,905.30
  4. Step 4: Simplify right side
    413,185.73x = 132,214,845,137.70
  5. Step 5: Solve for x
    x = 132,214,845,137.70/413,185.73
  6. Step 6: Final answer
    x = 319,988.90

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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.