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Finding the Fourth Proportional to 416,693.80, 574,996.26 and 232,897.96

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Solution

The fourth proportional to 416,693.80, 574,996.26 and 232,897.96 is: 321,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,693.80 : 574,996.26 = 232,897.96 : x
  2. Step 2: Convert to fraction form
    416,693.80/574,996.26 = 232,897.96/x
  3. Step 3: Cross multiply
    416,693.80x = 574,996.26 × 232,897.96
  4. Step 4: Simplify right side
    416,693.80x = 133,915,455,961.63
  5. Step 5: Solve for x
    x = 133,915,455,961.63/416,693.80
  6. Step 6: Final answer
    x = 321,376.17

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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.