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Finding the Fourth Proportional to 507,624.68, 761,857.50 and 254,977.32

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Solution

The fourth proportional to 507,624.68, 761,857.50 and 254,977.32 is: 382,677.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,624.68 : 761,857.50 = 254,977.32 : x
  2. Step 2: Convert to fraction form
    507,624.68/761,857.50 = 254,977.32/x
  3. Step 3: Cross multiply
    507,624.68x = 761,857.50 × 254,977.32
  4. Step 4: Simplify right side
    507,624.68x = 194,256,383,571.90
  5. Step 5: Solve for x
    x = 194,256,383,571.90/507,624.68
  6. Step 6: Final answer
    x = 382,677.18

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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.