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Finding the Fourth Proportional to 384,534.09, 530,611.35 and 231,569.85

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Solution

The fourth proportional to 384,534.09, 530,611.35 and 231,569.85 is: 319,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,534.09 : 530,611.35 = 231,569.85 : x
  2. Step 2: Convert to fraction form
    384,534.09/530,611.35 = 231,569.85/x
  3. Step 3: Cross multiply
    384,534.09x = 530,611.35 × 231,569.85
  4. Step 4: Simplify right side
    384,534.09x = 122,873,590,727.80
  5. Step 5: Solve for x
    x = 122,873,590,727.80/384,534.09
  6. Step 6: Final answer
    x = 319,538.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.