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Finding the Fourth Proportional to 732,296, 1,010,583.84 and 414,344

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Solution

The fourth proportional to 732,296, 1,010,583.84 and 414,344 is: 571,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,296 : 1,010,583.84 = 414,344 : x
  2. Step 2: Convert to fraction form
    732,296/1,010,583.84 = 414,344/x
  3. Step 3: Cross multiply
    732,296x = 1,010,583.84 × 414,344
  4. Step 4: Simplify right side
    732,296x = 418,729,350,600.96
  5. Step 5: Solve for x
    x = 418,729,350,600.96/732,296
  6. Step 6: Final answer
    x = 571,803.41

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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.