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Finding the Fourth Proportional to 507,468.84, 700,307.54 and 274,896.31

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Solution

The fourth proportional to 507,468.84, 700,307.54 and 274,896.31 is: 379,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,468.84 : 700,307.54 = 274,896.31 : x
  2. Step 2: Convert to fraction form
    507,468.84/700,307.54 = 274,896.31/x
  3. Step 3: Cross multiply
    507,468.84x = 700,307.54 × 274,896.31
  4. Step 4: Simplify right side
    507,468.84x = 192,511,958,611.18
  5. Step 5: Solve for x
    x = 192,511,958,611.18/507,468.84
  6. Step 6: Final answer
    x = 379,357.20

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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.