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Finding the Fourth Proportional to 507,418.26, 761,061.75 and 241,347.84

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Solution

The fourth proportional to 507,418.26, 761,061.75 and 241,347.84 is: 361,990.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,418.26 : 761,061.75 = 241,347.84 : x
  2. Step 2: Convert to fraction form
    507,418.26/761,061.75 = 241,347.84/x
  3. Step 3: Cross multiply
    507,418.26x = 761,061.75 × 241,347.84
  4. Step 4: Simplify right side
    507,418.26x = 183,680,609,469.12
  5. Step 5: Solve for x
    x = 183,680,609,469.12/507,418.26
  6. Step 6: Final answer
    x = 361,990.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.