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Finding the Fourth Proportional to 727,554.67, 1,003,892.38 and 405,256.57

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Solution

The fourth proportional to 727,554.67, 1,003,892.38 and 405,256.57 is: 559,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,554.67 : 1,003,892.38 = 405,256.57 : x
  2. Step 2: Convert to fraction form
    727,554.67/1,003,892.38 = 405,256.57/x
  3. Step 3: Cross multiply
    727,554.67x = 1,003,892.38 × 405,256.57
  4. Step 4: Simplify right side
    727,554.67x = 406,833,982,567.94
  5. Step 5: Solve for x
    x = 406,833,982,567.94/727,554.67
  6. Step 6: Final answer
    x = 559,179.95

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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.