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Finding the Fourth Proportional to 412,706.64, 569,558.88 and 231,476.70

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Solution

The fourth proportional to 412,706.64, 569,558.88 and 231,476.70 is: 319,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,706.64 : 569,558.88 = 231,476.70 : x
  2. Step 2: Convert to fraction form
    412,706.64/569,558.88 = 231,476.70/x
  3. Step 3: Cross multiply
    412,706.64x = 569,558.88 × 231,476.70
  4. Step 4: Simplify right side
    412,706.64x = 131,839,609,998.10
  5. Step 5: Solve for x
    x = 131,839,609,998.10/412,706.64
  6. Step 6: Final answer
    x = 319,451.15

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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.