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Finding the Fourth Proportional to 507,539.81, 701,163.18 and 333,521.43

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Solution

The fourth proportional to 507,539.81, 701,163.18 and 333,521.43 is: 460,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,539.81 : 701,163.18 = 333,521.43 : x
  2. Step 2: Convert to fraction form
    507,539.81/701,163.18 = 333,521.43/x
  3. Step 3: Cross multiply
    507,539.81x = 701,163.18 × 333,521.43
  4. Step 4: Simplify right side
    507,539.81x = 233,852,946,456.95
  5. Step 5: Solve for x
    x = 233,852,946,456.95/507,539.81
  6. Step 6: Final answer
    x = 460,757.84

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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.