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Finding the Fourth Proportional to 507,753.40, 761,411.40 and 254,936.20

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Solution

The fourth proportional to 507,753.40, 761,411.40 and 254,936.20 is: 382,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,753.40 : 761,411.40 = 254,936.20 : x
  2. Step 2: Convert to fraction form
    507,753.40/761,411.40 = 254,936.20/x
  3. Step 3: Cross multiply
    507,753.40x = 761,411.40 × 254,936.20
  4. Step 4: Simplify right side
    507,753.40x = 194,111,328,952.68
  5. Step 5: Solve for x
    x = 194,111,328,952.68/507,753.40
  6. Step 6: Final answer
    x = 382,294.49

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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.