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Finding the Fourth Proportional to 501,825.12, 692,404.32 and 297,770.64

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Solution

The fourth proportional to 501,825.12, 692,404.32 and 297,770.64 is: 410,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,825.12 : 692,404.32 = 297,770.64 : x
  2. Step 2: Convert to fraction form
    501,825.12/692,404.32 = 297,770.64/x
  3. Step 3: Cross multiply
    501,825.12x = 692,404.32 × 297,770.64
  4. Step 4: Simplify right side
    501,825.12x = 206,177,677,505.17
  5. Step 5: Solve for x
    x = 206,177,677,505.17/501,825.12
  6. Step 6: Final answer
    x = 410,855.63

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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.