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Finding the Fourth Proportional to 413,086.94, 570,013.70 and 231,761.16

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Solution

The fourth proportional to 413,086.94, 570,013.70 and 231,761.16 is: 319,804.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,086.94 : 570,013.70 = 231,761.16 : x
  2. Step 2: Convert to fraction form
    413,086.94/570,013.70 = 231,761.16/x
  3. Step 3: Cross multiply
    413,086.94x = 570,013.70 × 231,761.16
  4. Step 4: Simplify right side
    413,086.94x = 132,107,036,327.89
  5. Step 5: Solve for x
    x = 132,107,036,327.89/413,086.94
  6. Step 6: Final answer
    x = 319,804.44

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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.